Q. 84.5( 6 Votes )

In the given figu

Answer :

ΔPOR is a right triangle because O = 90°.


In a right angled triangle


(Hypotenuse)2 = (Base)2 + (Height)2


where hypotenuse is the longest side.


(PR)2 = (OP)2 + (OR)2


PR2 = (6) 2 + (8) 2


PR2 = 36 + 64 = 100


PR = 10 m


Now, PR2 + PQ2 = 102 + 242 = 100 + 576 = 676


Also, QR2 = 262 = 676


PR2 + PQ2 = QR2


which satisfies Pythagoras theorem.


Hence, ∆PQR is right angled triangle.


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