Which of the following can be the sides of a right triangle? (i) 2.5 cm, 6.5 cm, 6 cm

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Which of the following can be the sides of a right triangle?

(i) 2.5 cm, 6.5 cm, 6 cm

(ii) 2 cm, 2 cm, 5 cm

(iii) 1.5 cm, 2 cm, 2.5 cm

In the case of right angled triangles, identify the right angles.

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Let us consider, the larger side be the hypotenuse and also using Pythagoras theorem,

Therefore, the given sides are not of the right angled triangle.

Right angle lies on the opposite to the greater side 6.5cm i.e. at B

(ii)

Therefore, the given sides are not of the right angled triangle.

(iii)

Therefore, the given sides are of the right angled triangle. Right angle lies on the opposite to the greater side 2.5 cm, i.e., at Q.