The lengths of the sides of some triangles are given below. Find out which of them are right-angled triangles.

(4) 5 cm, 12 cm, 13 cm

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Solution

The lengths of the sides of the triangle are 5 cm, 12 cm and 13 cm.
Longest side = 13 cm
Square of longest side = (13)² = 169
Side one = 5 cm
Square of side one = (5)² = 25
Side two = 12 cm
Square of side two = (12)² = 144
Sum of square of side one and square of side two = 25 + 144 = 169
= Square of longest side
Hence, this is a right-angled triangle.

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13 c m, 12 c m, 5 c m

Sides of triangles are given below. Determine which of them are right triangles? In case of a right triangle, write the length of its hypotenuse.

(i) 7 cm, 24 cm, 25 cm

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