Question

In the adjoining figure, PQ = 24 cm, QR = 26 cm. <PAR = 90°, PA = 6 cm and AR
Find < QPR.

Answer 1

Answer:

angle QPR is 90°

because 24 ,26,10are perfect Pythagorean triplets

Answer 2

Answer:

im , ∆APR,

<RAP = 90°

SO, by Pythagoras theorem,

PR² = AP² + AR²

= 6² + 8²

= 36 + 64 = 100

PR = √100 = 10 CM.

NOW , IN ∆,OQR,

QR² = 26² = 676

AND, PQ² + PR²= 24² + 10²

= 576 + 100 = 676

CLEARLY,

PQ² + PR² = QR²

SO, by converse of Pythagoras theorem

< QPR = 90°...