In the given figure, ∠PSR = 90°, PQ = 10 cm, QS = 6 cm and RQ = 9 cm, calculate the length of PR.
Pythagoras Theorem
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Question

In the given figure, ∠PSR = 90°, PQ = 10 cm, QS = 6 cm and RQ = 9 cm, calculate the length of PR.

KnowledgeBoat · Accepted Answer

In right angled triangle PQS, By Pythagoras theorem, Hypotenuse2 = Perpendicular2 + Base2 ⇒ PQ2 = PS2 + QS2 ⇒ 102 = PS2 + 62 ⇒ 100 = PS2 + 36 ⇒ PS2 = 100 - 36 ⇒ PS2 = 64 ⇒ PS = ⇒ PS = 8 cm. From figure, RS = RQ + QS = 9 + 6 = 15 cm In right angled △ PRS, Hypotenuse2 = Perpendicular2 + Base2 ⇒ PR2 = RS2 + PS2 ⇒ PR2 = 152 + 82 ⇒ PR2 = 225 + 64 ⇒ PR2 = 289 ⇒ PR = ⇒ PR = 17 cm. Hence, the length of PR = 17 cm.

Mathematics

In the given figure, ∠PSR = 90°, PQ = 10 cm, QS = 6 cm and RQ = 9 cm, calculate the length of PR.

Pythagoras Theorem

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