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in Triangles by (56.3k points)

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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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 = 25

But, 62 = 36

32 + 42 = 25 which is not equal to 62

Hence, the given triangle is not a right angled triangle.

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