Page 51 - Grade 10 C.Math

ljifdafx' lqe'hsf] If]qkmn (Area of a scalene triangle)
A
lj|mofsnfk 4
e'hf BC = a PsfO, CA = b PsfO / AB = c PsfO
gfk ePsf ljifdafx' lqe'h ABC sf] /rgf ug'{xf];\ . b
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zLiflaGb A af6 cfwf/ ehf BC sf laGb D df kg u/L c h
Curriculum Development Centre
nDa AD lvRg'xf];\ . To;kl5 DC = x PsfO gfk dfg]/
BD = (a - x) PsfO gfk hgfpg'xf];\ . oxfF lqe'hsf] B C
a-x D x
kl/ldlt 2s dfGbf 2s = (a+b+c) x'G5 . a
-cw{ kl/ldlt_
2
oxfF, ;dsf]0f ADC df (AD) = (AC) – (DC) 2
2
2
2
cyjf, h = b – x ...... (i) /
2
k]ml/, ;dsf]0f ADB df
(AD) = (AB) – (BD) 2
2
2
cyjf, h = c – (a - x) .......... (ii)
2
2
2
2
2
2
;dLs/0f (i) / (ii) af6 c - (a - x) = b - x 2
2
2
2
2
cyjf, c - (a - 2ax + x ) = b – x 2
2
2
2
2
cyjf, c - a + 2ax - x = b - x 2
cyjf, 2ax = b - x + x + a - c 2
2
2
2
2
2
2
cyjf, 2ax = b + a - c 2
x

ca, x sf] dfg ;dLs/0f (i) df k|lt:yfkg ubf{

48 ul0ft, sIff – 10