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Question
Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Give reasons for your answer.
Solution
According to the question,
Let us assume that,
A = 25 cm
B = 5 cm
C = 24 cm
Now, Using Pythagoras Theorem,
We have,
A2 = B2 + C2
B2 + C2 = (5)2 + (24)2
B2 + C2 = 25 + 576
B2 + C2 = 601
A2 = 600
600 ≠ 601
A2 ≠ B2 + C2
Since the sides does not satisfy the property of Pythagoras theorem, triangle with sides 25 cm, 5 cm and 24 cm is not a right triangle.
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