1." the scale of am distance between two town is 172 km calculate the distance, in centimeters, between two towns on the map? ue artes a1 dura 1:500000 8, at eet & ata wt arate go 172 Pet @, aaa we at areal & ata BRA, Achhtex F arn Se (RRB NTPC 2021) 2844 BBG ITZ 51.6 2. Ifa map of a city was drawn on a scale of 0.2 cm to a km, what area would represent a country if it has an area of 22500 km? ‘aft fret cree ar ae 0.2 dat & Uw feet & Get aq dia ovat %, at 22500 feet dame ard 2er AT ata a afaice wi) A) 250 em? B) 2250 em? ©) 5625 em? the altitude of a triangle is 8 em and its correspon: hase it 12 em, then the aren of the triangle will be: aft ee Brpa a garg 8 em 2 sie gear wn aware 12 cm 8, of Pays a dawa ata ta 96 01 me 3. What is the ai + correct {0 one decimal place) of a triangle w 21.4 em array Ae 15.5 em wars ara Pry wr ease (em A, ww career a el) a I se hase is 21.4 cm and height is 15.5 em? (165.9 1b) 156.6 C) 165.6 a 156.9 4. The area ofa triangle is 182 em? and the length of one of its sides is 28 cm. What is the length of the perpendicular line segment drawn to this side of the triangle from the opposite vertex (in cm)? um Pap #1 yon 182 dh & ake pee ow GT aug 28 aot Bi Rags A a ap sta ah & ht ae da tar ds A iang (et A) e A) B) ¢) D) 5. 12 13 14 15 ‘Two sides of a triangle are 12.8 m and 9.6 m. Ifthe ‘of the (riangle is 12 m, corresponding (0 9.6 m, Then what is its height (in my) corresponding to 12.8 m? veo Pryor af Rt oqo 128m ste 9.6m ty ae AEs a wre 12m z, of Fr 9.6 mare aor ara @, a 128m Qo Sr we (ew) gH? @) 2 wy © 10 @ 8 Find the area of the triangle whose height is 35.7 cm and the base is 1/7* of the height? aa fap a ares aa Af Brett Sug 35.7 oh & athe arr Song wr 1/74 Ree ssciepi2024 A) 8) ¢) Dy 8 of a triangle is 1470 cm’, If base of this triangle is 3/5" of the height corresponding to that base, then what will be the height of triangle? ue Rage aT eee 1470 on? aR ga PT sree Fa STU & Sa Sarg a 9/5 8, at Pa AY Searg er erie SSC GD 2024 720m 63 em 69cm 70cm ‘The length of the base of a triangle is 3 em smaller than the length of its altiude, Its area is 104 em*, What is the length of the base? ew Pyar @ aere wl any, ea ware a 3 em am ty TOT tava 104 em? | gee one aft tang gr AHARTEL @ Bem (oy 0 em emo Trem 9. The base of triangular field is three times its altitude, If the cost of cultivating the field at Rs 24,68 per 100 m? be Rs 333.18, find its base? fysren tert #1 aren saat Sarg f ate aT ‘ae Ga Gare Mi ora 24.68 vee vf 100 Tt AT AM AB 333.18 vee BA Ses TUT aT FP UP CONSTABLE LEAK PAPER 17FE0, SHIFT -2) A) 30m, B) 60m ¢) 90m D) 110 m 10. The ratio of base of two triangles is x+y and that of their areas is a: b. Then the ratio of their corresponding altitudes will be: @ erat & sre ar sera ta: y ait sa ews a:b tl aa sat dae Sal wage eo: tapi (b) ax: by (c) tage 11. The areas of the two triangles are in the ratio 4: 3 and a i Relghts are Inthe ratio 6: 5. Find the ratio of their BAN & aoe wy agua 4: 38, oh aaat oo ae 5 81 a onan ar argura et 5:6 (b) 10 oF 10 (6:5 12. Area of the first triangle is 420 cm2 and its base is 60 cm, whereas, area of the second triangle is 1500 cm? and its base is 7.5 om, What will be the ratio of the height of the first triangle to that of the second triangle? ‘ame Props ar etre 420 ae & alte Fae aT 60 ah 8, arate gut Rap ar dws 1500 wet ate FART UR 7.5 dof BL see Bap A Seg ar D) 7:200 13. What is the area (in cm?) of a triangle whose sides are 3 cm, 4m, and Sem? 3a Pop a ates (@aP a war & BAA TE 3 aah, 4 aah ate S aah Be (DP CONSTABLE 2023) A) 10.5 B) 6 a4 De 14, What is the area of « triangle whose sides are of lengths 9 cm, 40 cm and 41 cm? 3a Pap ar daw wa f rah are 9 ah, 40 aah ite 41 Balt BP (DP CONSTABLE 2023) A) 180 cm? B) 160cm? ©) 170cm? D) 210cm? 15. Find the area of the right angled triangle if the longest side of a right angled triangle is 17 cm and the height is 15 cm? ‘ai sarater Progr ft aad adh apo 17 att Est Sarg 15 dah tat waar Reg a dene ae wt SEE A) 54 cme B) Séem? €) 60cm? D) 28cm? 16, Ina rig jangle, ifthe hypotenuse is 101 cm and 1110 20 em, whut is its rea ( oe of ts sides is eq soo orate Arq, aR at TOL em ste Fe aT ah geomr Sexe (em a) am 8? 2020 um rom © vox 990 17, The edges of a triangular board are 12 m, 35 mand 37 m. Find the cost of painting it at the rate of 8/m?, vee frotter aie & frat 12 after, 95 Her atte 37 whet Ee 8/m2 A a te ee Re A oT oH aie (DP CONSTABLE 2023) A) Rs 1575 B) Rs 1560 C) Rs 1680 Dy Rs 1670 18.1f two sides of triangles are 28 cm, 45 em with area 630cm*, then the length of the third side is? 20 em # werea Pgs #1 at HER’ 630cm! awa & HRT 28 oh, a8 Gat Eat ahah ap Ar ciane fae bP A) 48m B) 53cm ¢) 60cm, D) 41em, 19.The perimeter of a right angle triangle us 120 om and its two perpendicular sides are in the ratio 5:12. Find the area of the triangle (in square cm)? com aorator Paps wr afta 120 aot & site gent wrwas apm 5:12 5 #81 fap a dae sae ST (at Bat a) 448 B) 424 Cc) 464 D) 480 20. The area of a $40) cm? and the ratio ofits sides angie fs ig 8: 15: 17. What isthe perimeter ofthe triangle? Wo Pe an Aare S40 emt ven GA YMA wT EET S218 217-81 Pg ot a tl Aen o Siler « 150 em wy ae 21. ‘The sides of x tri perimeter is 141 em, The difference betwee side and the ssmallest side ix: 1 freh Pryse wh aqua ar srqerer = 3 14h em.21 sah wad aah yor a aang site a GIA YS sind # Au sie aa = (SSCS @) 18cm sem © em @ hem 22. The lengths of the sides of a triangle are 5 em, 4 em and 7 cm. find the area of the triangle? um Rage aprat F sing 5 Set, 4 tt ok 7 aah Rage at dees aa st? A} 6, Fem"? B) 7\ Zen" ©) 5\ Gem" D) 4 Gem! 23. What is the area of a triangle {in "em?" ) having sides of length 24 cm, 17 cm and 9 em? com Ras aa ates (Baie a) Rae ase 24 aah, 17 aah atte 9 oh &, a be A) 40,7 8) 35vz cq) 20,2 2) 40,7 24.A triangle has sides 13 em, 14cm and 15 em long. What is the length of the smallest altitude of the triangle? com Praga 1 sport 13 ah, 14 deh ite 15 aah at 3) Paap A wet whet Surg A ack ar BP A) liem fiz al ©) 12em D) 12.2 em 25. APQR arct-softnre tt agai Bate wr sire set: 18 em, 17 em ate 28m 8 Pos a dre are Are (ssc CPO 2022) (x) 130\570 em (61330: ) 2305310 em? mY 26, Ione side ofa triangle is 7 with its perimeter equal to 18, and area equal to VIG, then the other two sides are: afe ces Ra A om ao 7 8 eee URI 18 TN Boi dwar \T08 & aera 2 at omer at YoTSH aT 27.The sides of a triangle arc in the ratio 3:5:6. If the area is yT4cm?, find the sum of the sides (in em)? ow Pps ff apart 3:5:6 sea a Fl aie eee aVTaem? &, at oyarat ar ater (Baht 8) ara EP A) 28 B) 36 c) 32D) 24 28. The sides of a triangle are given by va? +b? , Ve? +a? and (b + ¢), where a, b, ¢ are positive. What is the area of the triangle? ge ane VaTT BE, Vere a? att (b+ 0), wer a,b, © ERT Ei Prag at etre fran fe Ceaser ine eeiesy (e} (a) : 29.In a triangle ABC, AB=17em, BC-12cm, AC-\241em, ADIBC, then find the area of \ADC? FrapT BCH, ABet7em, BC=t2em, ACeY2aIem, ADLOC at aoc ar tama aa {a} 24cm? (b) 36cm? c) 27cm? (a) SOE 30, The sides ofa triangular park are 6om, 112 m and 164 m. The cost of leveling the park at the rate of Rs.8.50/squm. Is vee Pegarere we a) and oo of, 1 ate se6 oN 21 wd asf Aw a ore ol eres wel ®) ATT ert wre) (a) 17,085 (b) 18,164 (c) 18,316 (a) 37,138 31, The sides of a triangular park are in the ratio of 12:17:25 and its perimeter is 1080 m. The area (in hectares) of the park is we Popsrer ore 8) asm) wr aT 12:17: 25 ¢ ate qo sam 1080 m 2) wa or aera (Raa) ty (a) (b) 4.2 (ce) 4.5 (a) 48 82, The length of each side of an equilateral triangle is 22 em. Find the area (in cm’) of this triangh {ew ara Baga ah eden yu A oar 22 em 1 ge PT wr eave (em?# ) ame wifey (a) 121 (b) 242 Olan (a) 2423 33. Find the area (in sq om) of an equilateral triangle with side 6 em? 6 ah aI ant we Aa PRET aT daw (at aa 2) ora A? A) 178 B) 18.2 ©) 15.6 Dj 16.3 34, What is the area (i ‘cquilateral riangular field of side 8, 8.5 mao ara TE PTR tem or Aaa (mt A, scerrore 4 vor ) gar ela? 1 (a) r up to 1 place of decimal) of an @ 72.253 35.What is the area of an equilateral triangle whose sides are 8V3 cm? wa aay Pape at aes war t Brat sport 83 aa Be A) 48, Fen B) 46, 3e cy aay Dy 42 Tem? 36. The sun ofall the the sides of am equilateral triangle is 15V3em. The height of th angle ew wag feye A Mat eat aw wnwa 15J3cm #1 ‘frqa ot wag amt we) @ Tem Sem eral trinngle? oe erraTG Pager at shard 7VFem 8) ger eg Regs wr awa aan if? wo 3603 cm (yy 25.3 em @) 22V3 em? (ssc cat 2022) 38. In an equilateral AABC, area of triangle is 225\3cm?, then find the perimeter ‘of AABC? Fam AABC #, Pras # cham 225V3em? BI ae AABe ar aa aT (a) 906m —(b) GOcm {c) 75em, (a) 120em_ 39. ‘The area of an equila perimeter (in m) is:feet rang Pras an atarwa 10.24 V3. (hee A) ar @ 32 o 96 i) 6A @ 9 40. The area of a table top in the shape of an equilateral triangle is 216V3 em*. Wh side of he table? yw Har orate, at Ar aeTaTE PoE aoe er wr awe 216VFem? 81 Ar A wear ayo a dard ( ay am a @) NS i) 16 © 1G @) 302 48.If the area of an equilateral triangle is “Joa. sem?, then each side of the length is? aie ww aaa Rar wr dane Fo4.sem? &, tt ret apa oft aiare Pratt Be A) Liem B) 10cm C) 12cm D) 13cm 42.'The perimeter of equilateral triangle is al, is) P81 gener ofr em) of each, units. Determine the area of the triangle. sora Past arta ae(() gm 81 Brg ar 2. 1 unit? 4.2 unit? 42, What is the perimeter (in em) of an equilateral triangle whose height is 3.46 em? Take V3 = 1.73 3.46 em gang ara wrarg, rg at afeare (in em) Rear aim? V3= 1.7350 31 (a) Wt /uce three equilateral triangles, The sum of the nd ¥ is equal to the area of Z. IC the side length aera of X, ‘OFX amd Y are em and 8 em respective the side length of Z2 X Vote Zs arag Boge 1X ste ¥ 8 dara 1 ate ZL awa Bowe th aN ote Va aon aA dada ore 6 Wh, ate 9 Se a Zw ayo wars rsh ty tem wo ins em io 950 then what fs iw Fem SSC CHSL TIER = 12022 45.0 is a point in the interior of an equilateral triangle. The perpendicular distance from ‘O to the sides are Vem, 2v5em,SV3em. The perimeter of the triangle is? Oe amag Ras & ania A om Rig Hoe apmat Saar af \3 Bat, 23 Saft, Svs aah FT Bays ar aang b> A) 48cm B) 64cm ¢) a2em D) 24cm 46.From any point inside an equilateral triangle, the length: perpendiculars on the sides are ‘a’ cm, and ‘c' om. Its area (in em?) is- fret aorarg Pops & afters Pref af ig & asrat oe eat GY RRM Sa%em,“biem Ta fctem 8 PRET ET ae (cm? a) 8] Bop ar aawer frre F? (a) farbre}2 12 (bree (a) (arb+c)2 Perimeter of an isosceles triangle is 91 cm. Hone of the equal sides measures 28 em, then what is the value of the other non-equal side? vo artery Pega ar oft OL em 8) ae TTT EM tw aT A 28 eon 8, OP oreo apo oT aT eT? @ Shem wy te)i3 ein, AD 12 cm. the 48, NANG is an isosceles traingles with AB = AC is the median on BC from A such that AD = length of BC is equal to: SABC we Baghtarg Raps FT AB = AC = 13 Gah BAD, AY BCR Fe FET ‘ich ag aftaar ¢ fF AD =12 Set BBC Fr sare t -SSSRSERIERETOS (b) 75 em (a) Gem 49. In an isosceles triangle ABC, AB = AC and AD is peependis BABE is 196, woifdarg Pegs! ABC A, AB=AC aft AD, BC @ aaa7 #1 aft AD =28em site AABC ar afar 196 em & at AC a dae (ot A) soa TEP lar ta BC. IEAD = 28 em and the perimeter of 30, The sum of three sides of am isosceles trinmgle is 50 em, and the ratio of an equal side to the hase is 3: 4. The altitude ofthe triangle is: aealarg Prt oh eit epond er abrwer 80 em & sity wee aa are smal 7d ee yon ate arog ar ya 3:4 21 Frys a aang ara me? (dy (09503 (10 Giz. 51. The ratio of each equal side and unequal side of an isosceles triangle is 7:10 and its area is 90V6em? . Find the unequal side of triangle? ue arate Rape A chs ware apar aite ara aio ST aT 7:10 F she ea AEA 90\6cm™ G1 Bop Fh arena aon aa aE A) 30 B) 20 c) 25 D) 10\5 32, The ratio of the side of a triangle i 8:3:4, Ifthe area of triangle is 32V/Sem2,then what is the length of the equal side? vom Page Fh ganador argon a 2324 81 afk Ps oT dtawe 32VSem?e, at wart yonsil wh aang faerh @? fa)10em —(b) I2em {}16cem —(d) 15em The ratio of an equal side to the base of an isosecles its area is 80/Ticm’, Then le is: le is 3:8 and perimeter of the tri ew wneftag Pape ft ante waRT AT a ore WT AGA 3:5 FAT Fw ATT BOVIT em? Pays ores ore st? 7ST naa a)88 em bylo4em ej1idem 99cm 54.The area of an isosceles triangle ABC with AB = AC and altitude AD = 9 em is 36 cm”, What fs its perimeter? wa wadftag fy ABC aT Gama AB = AC att Sar AD = 9 Salt 8, 36 Seth A geet we war HP (DP CONSTABLE 2023) A) 442,57 em B) 10437 em co) 6237 em D) 8+2\37 em 55.1n a triangle ABC, AB-AC, and the perimeter of triangle 544cm, If equal sides are 5/6% of the non-equal side, then find the area of triangle? opr ABC # AB-AC t1 fiapr ay afta S4dem fo Bape A wae spare dhe area 9ST aT 5/6 7 t aa Rea a awe eT (a)88726m? —“(b)17840 em? cm? (d)19507cm? {e}15606 56. Three sides ofa triangle are (RF, [RAFF and (oF 2} unlts. Whats a a aa ie FT YOaTR Jeo i figs sss (te 8) Bed? (algab (b)3ab (aad @an$7.53, 56, 53 are the three sides of the triangle, another triangle having equal area is consist of sides 53, X and 53, Find X? (if X-56) 33,56,53 Prag a Ata apoTE Bow ater Pr eae ace faa 83, Nate SEIN? (AE NE 56) (ayes (hyd) (e) 72 SS