(Mensutokor

&D, 3D -Aua, Peimedea

Tiangle b
O Scalene tniangle
equal ai cle, no equad ange
a tb+c
’ Half P (S) = at btc

-()
bo abc
clrucmeadiu cR) aea=

Area SCS-a) cs-b)(S-)

One side and ras peutive heigt is giuen,

Bau x Heiglt
Contt) ie(ne a)
axhj - bxh = Ch,
a b C2:

Jt a D
each coreapondma Dongtn
then
ktime ftheold qre
New
times he
New

Right angle. tri angle -

neabaex Perpena
’ Squae with ma
maqnituc sf sida/ta
baeXhetatj
( baet hacyl4
 Tsocalo Triangl
H

equiloteral triangle-
’ Perinete 3a
ha

(Con eepts)
>Area 2
I# Pis any poind nde
Radius of equilteed triang
a

heiglt h
Ahe b atb t =

’ Squae with may nagnirtucle of (atbte)

Sde thad Can plac d hyide
do
24 letea trans f side a" a'
aea
Catbte)
 Note

1f csqulat polygon hwe 3ame pori melea then

gruate hunber of sice împlies qrocdor ua

sides
-the Aniangl la8 m cn q-6m
s l2m Corres pund
to 46m Then wnat is t
to
higct Cin ) corre poiny
la8 m?
a4
Side rato la8M
b 6

haigu ration side

The bau t triangle is naeaud

by 40 '%
By what pocentage howdthe neaînuaau
be hat
by 60 ?

hen to do
from
opteon
The side
and its
atriangle the
peimeten
the qceatst ida The
and the citteune
Smaleut side is)bewn.
Side rcto

8X3
 Bernicacle is done on
Siles ) by -taling the
B Side ay dianete
the
Shade porton wl be
tna)
Cqua -to Ahe

the tniasp

A (when)
aute triangle
B
Rigkt ang triange

A squa mami mu sida tn

be placed maie thï alanl
Pr
a
triangle ABc.2
then
ath a= One

Ah h higt to that side

stce o Squae
Baue theigit
 Ciecde wilh man. v ale uf cacous
that Can placed muide Scalae
+üange
pei matu

Radias CR) of rwmire f a

Scalane trioga
trúang
R= Racuw

Riglet togle
S axb Xc
ab2taxb

’ Radius

Arangle
Racliw of eirunlo ofa
ongle tiangle
a B
 Quadteral
’Rectangle CArsa xs
Perimetea = a(tb)
diaqonal = 4-%dxSme
arsa m terns of
’Trapezium) -
A
B’Fhua-(atb) x h
Sam t squace of diaqona
Squarre of t o
non paralel ides
tuia the muttiplfcotton

Ae+BD AD² +Bc+QAB)Cc)

AB D

>Aeea A= bXh
d
OlAxd xdssibe
’ PerimeteaXtb)
2
 Rhombus
’ Perimeder- 4a
d,Lde ’ Area-A= axb
(Side )

Rhomb s -
’ Radius of Toncle of a

’Radlius Aa

A
a
Manimum Magnitude sf side of
Rhombw ingide
bXc
btc
A

P
ABD is paralleloqram,
whfch
mid pont
CD and is the
81de
A
mid pont on Side BCr

Then area ot
AP xAea ot Parcalelogag A6D
 3D

|Priam
’[axh t bxh + cXh -(atbte) x h
1 Porimtea
k’Lateral Sfaca Area CLis 4) f BanX

Abave 7 Total 8wtae areoa = L-s.A +

ax Area
Bane
Bae XHeiaiut
9

Cube
Cuboid

a
2

’Total Surface -exn'

GXa ’ Total Suface AeeA (15A)
hrua (T:SA). |aclbtbh th )
’ LatoLa Sutau
’ Latecal Surifaca Area ( l's A)=4a Area lesA) Q(ltb) Xh

volune- g >volumeLxbXh
cuboid
’ Diago nal ofa cube ’ Diagona of a
d= 3
 Cyinder
Cueved Sutaco

> Total Surface taca (TS A)=

-|Qr Crth)

’ Diaqonal of the secton ut Cdi)b4

’ Reotanqulan shaperoled up
to form diffet ueidey

bx Nolame b
’Volume 4T

ength o the ope

und tbe cylhdu talm z4 truns
 Holao cuindet
-’ VolLme =

Total Swface Aea(TSA)

am(Rtr) [htk

radiu f bae
Cone
h heigt
A- Slant healut
Hee,Lh'+

Area l csA)= T d
-’ Curwed Surfce
> Totul Sutace Ariea (T S:A)

’ volume ev)

diw of a sphee
4

R=

B
 Sphera Hlemi sphee
-Racliu R-nalliy

’Volume volume 2 e
’ TsA/e-s A= 4T -|32

’ ube naide a Sphee Sphere mide a

Cube

Radis of Sphe
(R) - VBa ’ Radiu of Sp he
(R)