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Which of the following sets of sides of a triangle, could be the lengths of the sides of a right-angled triangle?

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3 cm, 4 cm, 6 cm

1.5 cm, 3.6 cm, 3.9 cm

7 cm, 24 cm, 26 cm

9 cm, 16 cm, 26 cm

answer is C.

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Detailed Solution

From the Pythagoras theorem,

Hypotenuse² = Base² + Height²

Consider 3.9 cm as the length of the hypotenuse. Now,

(3.9)² = 15.21

(1.5)² = 2.25

(3.6)²=12.96

Since , 12.96 + 2.25 = 15.21

Therefore, 1.5 cm, 3.6 cm, and 3.9 cm, would form a right angled triangle.

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