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Question
The sides of a certain triangle is given below. Find, which of them is right-triangle
6 m, 9 m, and 13 m
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Solution
6 m, 9 m, and 13 m
The given triangle will be a right-angled triangle if the square of its largest side is equal to the sum of the squares on the other two sides.
i.e., If (13)2 = (9)2 + (6)2
169 = 81 + 36 = 169 ≠ 117
So, the given triangle is not right-angled.
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