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Question

If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is right-angled triangle.

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Solution

In the given triangle, the largest side is 6 cm.We know that in a right-angled triangle, the sum of the squares of the smaller sides should be equal to the square of the largest side.Therefore,32+42=9+16=25But,62=3632+4262Hence, the given triangle is not a right-angled triangle.

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