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Question

Given below are the lengths of the sides forming the right angles of some triangles. Find out the length of the hypotenuse of each triangle.

(1) 24, 10

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Solution

Sides forming the right angle are 24, 10
By Pythagoras theorem,
(Hypotenuse)2 = (side one)2 + (side two)2

⇒ (Hypotenuse)2 = (24)2 + (10)2
⇒ (Hypotenuse)2 = 576 + 100
⇒ (Hypotenuse)2 = 676
⇒ (Hypotenuse)2 = (26)2
⇒ Hypotenuse = 26

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