Question

Sand T are points on sides PR and QR of PQR such that P=RTS . Show that RPQ - RTS.​

Answer 1

$\huge{\mathfrak{\purple{Question}}}$

Sand T are points on sides PR and QR of PQR such that P=RTS . Show that RPQ - RTS.

$\huge{\mathfrak{\purple{Answer}}}$

In △RPQ and △RTS

∠R is common

∠RTS=∠P (Given)

∠PRQ=∠TRS=∠R (Common)

Hence, By AA criterion of similarity, △RPQ∼△RTS

Hence proved

Answer 2

$\huge{\mathfrak{\purple{Answer}}}$  

In △RPQ and △RTS  

∠R is common  

∠RTS=∠P (Given)  

∠PRQ=∠TRS=∠R (Common)  

Hence, By AA criterion of similarity, △RPQ∼△RTS

 

Hence proved