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Question

Can the lengths 18 cm, 24 cm, and 30 cm be the sides of a right-angled triangle?


A

Yes

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B

No

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Solution

The correct option is A

Yes


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,

182+242=324+576=900=302

Since the squares of 18 and 24 add up to the square of 30, these form a Pythagorean triplet

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


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