Question

PQR is an isosceles triangle. QP=QR, if PR^ =2QR^ .PROVE THAT the triangle is the right one .

Answer 1

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Answer 2

Answer:

It is a right angles triangle

Step-by-step explanation:

Given : QP=QR , $PR^2 =2QR^2$

To Find : Prove that the triangle is the right one .

Solution :

Hypotenuse = PR

Base = QP

Perpendicular= QR

Using Pythagoras theorem

$Hypotenuse^2 = Perpendicular^2+base^2$

$PR^2 = QP^2+QR^2$

$2QR^2 = QR^2+QR^2$ (QP=QR)

$2QR^2 = 2QR^2$

Since it is satisfying the Pythagoras theorem

So, It is a right angles triangle