Find Area of a triangle whose sides are 36 cm, 15 em and 39 em, ‘3a frags a daar ara it format spi 36 Hh, 15 init, 39 fr, #1 (A) 180 cm* (C) 225 cm* (D) 360 cm? in a triangular field having sides 20 m, 72 m 78 m., the length of the altitude to the side measuring 72 m is: va ga a gt 30 of, 72 ah afte 78 oh 1 72 Hh, ae Gar ar gra mE ae BG AT HHL (A) 25 m (5) 28m (20m (0) 35 m If the perimeter of a right-angled triangle is 56 cm and area of the triangle is 84 sq. cm, then the length of the hypotenuse is (in em) afr was orator faa ant tar 6 af, & afte doe 84 ie, & se ah a seas ara aH (A) 25 (B) 50 (7 (p) 24 ‘The sides of a triangle are 14 cm and 20 em the angle included between then is 30°. Find area of triangle. cam Fann at At spat 4 aa ate 20 at atte sa alta amar 30° & at fren om tra ara th (a) 140 cm? (B) 120 em* (C) 125 cm? (D) 115 cm? In an isosceles triangle, the measure of each ‘of equal sides is 10 em and the angle between them is 45°, the area of the triangle is van wnfgarg figs mar spmsit a sey 10 tah (B) 270 cm* site sa dra a ait as & figs at dora ara HH 25 (A) 25 cm? B, 2 em? (c) 25/2 cm? (D) 25 JS em* If for an isosceles triangle the length of each ‘equal side is ‘a’ units and that of the third side is 'b’ units, then its area will be 10. Seen Saat eae a ray ie. oft ora wana at aneap “bY Ha fg aT ares aa #1 (ay GPa equate waite (B) $070" square units (0) a= square uate (D) Ber =257 square units ‘The perimeter of an isosceles triangle is 544 em and each ofthe equal aides is > times the base, What nthe ares (in cm’ ofthe triangle? em aagarg fags a often S44 Boh, sf ara oT, 5 “ , amare at 2 op & Ppa a drat aa tL (A) 38173, (B) 18372 (c) 31872 (D) 13872 ‘The perimeter of an isosceles triangle is 72 cm. Hf one of the equal sides is 26 cm then find area of triangle. fay ar ofrara 72 , @ oft wer aT Seats on at fogs ar are ara at (A) 220 em? (B) 225 em? (©) 240 cm* (D) 260 cm* ‘The altitude drawn to the base of an isosceles triangle is 8 em and its perimeter is 64cm. The area of the triangle fe. vem aaigag, fas & soar wg oh at oma ater caret &1 ger flora 64 anf, §1 fnnga an ate E (8) 115cm* (0) 240em? (A) 105em* (C) 120em* Perimeter of right angle isosceles triangle is (4/2 +4) ‘cm, What is the length of its Hypotenuse >un 12. 13, 14, 15. wm erator eeafgare frp a afraa (4/2 +4) Fr, 1 sae fares at cea eo 2? (a) 2Fem (8) 4Sem (©) 22 +1)em (D) 4em. If perimeter of isosceles right angle triangle is ‘2P", What is the area of triangle? cafe await wafgany fps ar fare ap fi fnga a awa wrt? (4) PYa+2V2)em?—(B)PB-2V2Jem* (c) P{a+V2jem? —(D)—PAS-V/2 Jem*1. ‘The ratio of three sides of « triangle is 5:5: If the area of triangle is 12 cm’, then what is the length (in em.} of the equal sides? om fig a ata apart a orqura s : s: 8 oft fg sa dere 12 A fT pa a cee Ta {SSC Delhi Police Constable Exam, 05.12.2017 (III Sitting) (ays (as (C6 (D) 2.5 The ratio of base of two triangles is x : y and that of their areas is a: b. Then athe ratio of their corresponding altitudes will be: A fap & anal a orga xy ae ore eet a orm a:b t sat sorb ar arya wa Ft ab ) ty {B) ax: by xb (C) ay: be Bigg Given that the ratio of altitudes of two triangles is 4:5, ratio of their areas is 3 : 2. The ratio of theircorresponding bases is A frog at Sarpat a aeqara 4: S site oe are sr org 9: 2 1 Sa rare ar otra GI (SSC CGL Tier-II Exam. 25.10.2018, TF NO. 1099685) (a) 8:15 (B) 15:8 (5:8 (8:5 Length of sides of a triangle are 13 em, 14 em and 15 cm. Find the length of perpendicular drawn from the opposite vertex to side whose length is 14 em, 16. a7. 18. 19. frga & wait at creng 13 a, 14 dah, oft 15 eh, fu fetta oar vit Bare a eat oe ‘aia et fat cea 14 ah, B1 (A) Sem @) Lem (C) 12em (0) 9em ‘The altitude drawn to the base of an isosceles triangle is 24 cm and its perimeter is 64 em. The area of triangle is- oe wengarg frogs a omer ae a mM, er ores 24 toh, oft wttara 64 at, G1 fag a dere ae aod (A) 150 cm? (B) 168 cm? (C) 175 cm? (D) 188 cm? Euclid has a triangle in his mind, its longest side hhas length 20 mt and another of its side has length 10 mt and Its area 80 mt, What is the length of third side? afars & fen 8 we frqa ¢ saat aaa cet ‘at even 20 vier f aftr grat ora at at Aes 10 ster t sit sean dower go ther th ata ap at aang aa 8? (a) 350 mt @) (C) (230 mt (D) 270 mt The height of an equilateral triangle is 18 em. Its area is “ae wag fags at se 18 Soh, te ger done a a {SSC CGL Tier-1I (CBE) Exam. 30.11.2016) (A) 385 square metre (B) 108 /3 square metre (C) 108 square metze (D) 96/5 square metre If the numerical value of the perimeter of an equilaterasl triangle is J3 times the area of it, then the length of each side of the triangle is cafe wm amg, fay ar afta ged dow aT YZ apr é t saat opm at send ara (A) 2 units (B) 3 units (C) 4 units (D) 6 units20. 2 22. 23. 24, If the length of each side of an equilateral tri angle is increased by 2 unit, the area is founded to be increased by 3 + JZ square unit. The length of each side of the triangle is cafe wp moray fas at wees yor ai 2 gard war fear ame at sear drawn (3+ JS) wt gard ag oT HH ‘erga a pa a ron aa 1A) J3 unit {C) 3. unit (D) 163.3 unit From a point inside an equilateral triangle the length of perpendicular to three sides are P,, P, and P,, What ia the length of each side? om fg, a ay fign & afer ast pit or P,P, aie p, ereit af read fu sata, spat at crearf at #2 PoPoP aS ®) ve, +P, PD (B) 3 unit 2 BPP, () Gerry we From a point inside an equilateral triangle the length of perpendicular to three aides are 6 cin, Sem and 10 em, What is the area of triangle? om fag Amey fa otet at get oe sma rer at emf 6 He, 9 Rah, ae 10 Be, 1 Fre sar dower war #? (a) 144/35 em* (8) 176em* (©) 192/3 em* (D) 192/2em* The perimeter of an equilateral triangle is 24/3 What is the radius of ineircle and circumeircle to the triangle. mong fins ar afta 24/5 aah, Gat fg aiacga aft ana qa at fren a #7 (a) Sem, 4em (8) 4em, Sem {c) 4/3 em, 8 Fem (0) 42, 8/2em The area of an equilateral triangle inscribed in a circle is 4/3 em, The area of the circle is wm ae & ore a aay figs a dines 4/3 oh inh, #1 ga an ones ara (a) “oem? 1B) “2 nem (4) rem: (8) rom te) Sem?) 2 emt 2s. 26. 27. 28. 29. If the difference between are: circle and the incircle of an eq is 44 cim2, then the area of the triangle is, cafe om worry fogs & area qa afte ora: gH fers on ata ag a nh, Be rage a ATER aT wt (Take w=") (A) 28 em? (8) 75 cm* (C) 145 om? (0) 21 om? IN an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilatteral triangle with same perimeter ye arnfgany frege 8 weew were par at eed ater aga aa diet & wager fea ate asa fag arroe a orga wa wi ate Arata fear aa #1 (A) 30/5 :100 (B) 32.V5 = 100 (C) 365 +100 (D) 42.5 : 100 Let x denote the product side of triangle. Let y denote the product of its semi-perimeter, inradius and circumradius then y/x =? art a figs ats pr at Freier arc & y aniga & wie, va: fren sie ang fren at frafra erat at yf tanya ® V3 exp (1/6 ro) Ratio between base/side/height/perimeter of two equilateral triangle is 5:4, What is the ratio between area of two triangles ? aang fraps amare sarge aftara a 3TTS 4 & ait fraps & drewser a orqora war #7 (ay S34 (8) 28:16 (c) 16:28 ©) 45 Points P and Q lie on sides AB and AC of tri angle ABC respectively such that segment PQ is parallel to side BC. If the ratio of areas of triangle APQ : triangle ABC is 25 : 36, then the fatio of AP: PB is, fing ABC a4 pm AB oir AC w ai firg P,Q eH rar fear & far PQ, BC a Hara fi aie fret APQ sit ape % area ar seu 25: 36 7H AP: PB aa wt30, 31. 32. (SSC CGL Tier-I CBE (Exam) 01.02.2017 (Second Sitting) (A) 5:6 (B) 1:5 (C)6:5 (D)S5:1 D and E are points on sides AB and AC of AABC. DE is parallel to BC. If AD ; DB = 2 : 3, what is the ratio of area of AADE and area of quadrilat- eral BDEC? faqs ABC at 4st AB iv AC W ai farg D, oi E 3a var fiaa # fe AD: DB= 2:3 fiaa ADE anna a aqds BDEC & Aare Fl ae ad FTL (SSC CHSL (10+2) Tier-I CBE (Exam) 21.08.2017) (A) 4:21 (B) 4:25 (C) 4:29 (D) 4:9 If the lengths of the sides AB, BC and CA ofa triangle ABC are 10 cm. 8 cm and 6 cm re- spectively and if M is the mid-point of BC and MN||AB to cut AC at N, then the area of the trapezium ABMN is equal to afa wa faqs &T YT AB, BC, 37 CA at orang 10 ti, 8 ah ait 6 Ate ain M BC Ow Ey frst MN, BC & Sarat 21 Aactal Ude ABMN FI Aaa a el (A) 18 sq. cm. (B) 20 sq. cm. (C) 12 sq. cm. (D) 16 sq. cm. Through each vertex of a triangle, a line paral- lel to the opposite side is drawn. The ratio of the perimeter of the new triangle, thus formed, with that of the original triangle is. foys & vere sinh @ fara a & omer we tar dit wg au faqs & wie 8 ancfas fo H uftaa aT arquTa aa at (A) 3:2 (B) 4:1 (C)2:1 (D)2:3