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Question

(2) The lengths of all three sides of certain triangles are given. Find out which of them are right-angled triangles.

(iv) 20, 16, 12

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Solution

20, 16, 12
Longest side = 20
Square of longest side = (20)2 = 400
First side = 16
Square of first side = (16)2 = 256
Second side = 12
Square of second side = (12)2 = 144
Sum of square of first side and square of second side = 256 + 144 = 400
= Square of longest side
Hence, this is a right-angled triangle.

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