Question

PQR is a right angled isoceles triangle ,right angled at Q, then prove that PRsquare =2PQsquare

Answer 1

isosceles triangle has 2 equal sides.

using pythagoras theorem,

PR^2 = PQ^2 + QR^2

where PQ = QR

therefore

PR^2 = 2 PQ^2

Answer 2

here's your answer dude.
since PQR is a righr angled isosceles traingle
then,segPQ=segRQ.....(1)
by phytagores theorem
Hypotenuse^(square)=sum of the squares of remaining 2 sides
PR^(square)=PQ^(square)+RQ^(square)
PR^(square)=PQ^(square)+PQ^(square).......from (1) or PQ=RQ
PR^(square)=2PQ^(square)
.....hence proved
hope it helpz plz mark as brainliest.