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.