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S and T are points on sides PR and QR of...

S and T are points on sides PR and QR of ` Delta PQR ` such that `/_ P = /_ RTS` then

A

`RP=RT`

B

`PQ=TS`

C

`triangleRPQ~triangleRTS`

D

`QR=RS`

Text Solution

Verified by Experts

The correct Answer is:
C
Given : `triangleRPQ and triangleRTS "in which" angleP= angleRTS`
To Prove: `triangleRPQ~triangleRTS`
Proof: In ` triangleRPQ and triangleRTS` we, have
` angle1= angle2` (given)
` angle3= angle3` ( common)

(by AA corollary)
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