CONGRUENCE OF TRIANGLES 1

Prove that the following triangle is isosceles. 

Solution

Given: triangle SRT with R produced to M.

Required to prove: ∆SRT is isosceles

Proof: SM = MT …………….… (given)

<SMR = <RMT = 90⁰ ………..(given)

RM = MR…………………..……..(common line)

∆UVT ≡ ∆WVT by SAS rule

RS = RT (Equal corresponding sides)

Hence ∆ SRT is isosceles (proved)!

TRY THIS………………..

Prove that the following triangle is isosceles.