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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.

(8) 2.1, 2.8

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Solution

Sides forming right angle are 2.1, 2.8
By Pythagoras theorem,
(Hypotenuse)2 = (side one)2 + (side two)2

⇒ (Hypotenuse)2 = (2.1)2 + (2.8)2
⇒ (Hypotenuse)2 = 4.41 + 7.84
⇒ (Hypotenuse)2 = 12.25
⇒ (Hypotenuse)2 = (3.5)2
⇒ Hypotenuse = 3.5

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