Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reason for your answer.

(False)

As per question,


Let suppose,


a = 25 cm,


b = 5 cm and


c = 24 cm


Now,


b2 + c2 = (5)2 + (24)2


b2 + c2 = 25 + 576


→ b2 + c2 = 601 ≤ (25)2


According to the Pythagoras theorem, in a right-angle triangle the sum of square of two sides must be equal to square of third side. But Given sides do not make a right triangle because it does not satisfy the property of Pythagoras theorem so the triangle with sides 25cm, 5cm and 24cm is not a right triangle.


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