Question

In the given figure, PQ =PR amd Qs=SR, prove that​

Answer 1

Answer:

HERE IS YOUR ANSWER HOPE IT HELPS....

Step-by-step explanation:

(i) since, PQ=PR

Therefore, <Q=<R

Now , in ∆ PQS and ∆ PRS

PQ= PR

QS=SR

<Q=<R

Hence,∆ PQS ~= ∆PRS ( BY SSS)........(1)

(ii) Since , ∆PQS~= ∆ PRS

=> <PSQ=PSR (by cpct )

Also , <PSQ+ < PSR = 180° ( Linear pair)

2 <PSQ = 180°

=> < PSQ=90° = <PSR ( Hence proved)

ALSO FROM (1)

and < QPS= < RPS ( By CPCT)