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In Figure (P S)/(S Q)=(P T)/(T R)and /P...

In Figure `(P S)/(S Q)=(P T)/(T R)`and `/_P S T=/_P R Q`. Prove that PQR is an isosceles triangle.

Text Solution

Verified by Experts

Here, we are given,
`(PS)/(SQ) = (PT)/(TR)`
As, ST is dividing two sides of triangle in equal ratio, it will be parallel to third side.
So, `ST ||QR`
That means,
`/_PST = /_PQR`
We are given, `/_PST = /_PRQ`
...
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