Question

In a triangle PSR , angle PSR = 90 degree, Q is a point on RS such that PQ= 10 cm, QS= 6 cm and RQ= 9 cm. Calculate the length of PR.​

Answer 1

Answer:

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Step-by-step explanation:

Answer

In△PQS

Bypythagorastheorem,

PS2+SQ2=PQ2

⟹PS2=PQ2−SQ2

⟹PS2=102−62

⟹PS2=100−36=64

⟹PS=8

In△PSR

⟹PS2+RS2=PR2(pythagoras)

⟹PR2=PS2+RS2

⟹PR2=64+(RQ+QS)2=64+152

⟹PR2=64+225

⟹PR2=289

⟹PR=17