Q. 14.2( 155 Votes )

PQR is a triangle, right-angled at P. If PQ = 10 cm and PR = 24 cm, find QR.

Answer :

It is given in the question that,


PQ = 10 cm


Also,


PR = 24 cm


We have to find QR



We know that,


According to Pythagoras theorem,


In a right angled triangle:


(Hypotenuse)2 = (Perpendicular)2 + (Base)2


By applying Pythagoras theorem in the given question, we get:


(QR)2 = (PQ)2 + (PR)2


(QR)2 = (10)2 + (24)2


(QR)2 = 100 + 576


(QR)2 = 676


Hence,


QR =


QR = 26 cm


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