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Question

The triangle of sides 9 cm, 40 cm, and 41 cm is a right-angled triangle?


A

True

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B

False

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Solution

The correct option is A

True


For any lengths to be sides of a right angled triangle, the sum of the squares of the 2 of them should be equal to the square of the third.

Here,

92+402=81+1600=1681=412

Since the squares of 9 and 40 add up to the square of 41, these form a Pythagorean triplet

Hence, can be used to represent the three sides of a right-angled triangle.


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