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Question

The lengths of the sides of some triangles are given below. Find out which of them are right-angled triangles.

(5) 9 cm, 40 cm, 41 cm

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Solution

The lengths of the sides of the triangle are 9 cm, 40 cm and 41 cm.
Longest side = 41 cm
Square of longest side = (41)2 = 1681
Side one = 9 cm
Square of side one = (9)2 = 81
Side two = 40 cm
Square of side two = (40)2 = 1600
Sum of square of side one and square of side two = 81 + 1600 = 1681
= Square of longest side
Hence, this is a right-angled triangle.

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