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

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#### Solution

We have,

Sides of triangle

AB = 3 cm

BC = 4 cm

AC = 6 cm

∴ AB^{2} = 32 = 9

BC^{2} = 42 = 16

AC^{2} = 62 = 36

Since, AB^{2} + BC^{2} ≠ AC^{2}

Then, by converse of Pythagoras theorem, triangle is not a right triangle.

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