Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Giv

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

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

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

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