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Question

The sides of a triangle are of length 8 cm, 15 cm and 17 cm. Then this triangle is a right triangle.

A
True
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B
False
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Solution

The correct option is A True
We know that hypotenuse is the longest side. If 8 cm, 15 cm and 17 cm are the lengths of a triangle, then 17 cm will be the hypotenuse.
172=289 and
(8)2+(15)2=64+225=289
Here, 172 = 82 + 152
Hence, by the converse of Pythagoras theorem, the given triangle is a right triangle.

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