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If ABC is an equilateral triangle and P,...

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA then.

A

PQR समबाहु त्रिभुज होगा

B

`PQ + QR + PR =AB`

C

` PQ-QR - PR = 2 AB`

D

PQR समकोणीय त्रिभुज होगा

Text Solution

Verified by Experts

The correct Answer is:
A

`(AP)/( AB)= (PQ)/(BC)" " Delta APQ, DeltaPQR, DeltaPQR,`
`DeltaQRC` (सभी समबाहु त्रिभुज होंगे)
`implies (x)/( 2x) = ( PQ)/(2x)`
`implies PQ = x`
`Delta PQR` भी समबाहु त्रिभुज होगा।
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