Is the triangle with sides $ 25 \mathrm{~cm}, 5 \mathrm{~cm} $ and $ 24 \mathrm{~cm} $ a right triangle? Give reasons for your answer.

Given:

A triangle with sides \( 25 \mathrm{~cm}, 5 \mathrm{~cm} \) and \( 24 \mathrm{~cm} \).

To do:

We have to find whether the given triangle is a right angled triangle.

Solution:

Let $a = 25\ cm, b = 5\ cm$ and $c =24\ cm$

This implies,

$b^2 + c^2 = (5)^2 + (24)^2$

$= 25+ 576$

$= 601$

$a^2=(25)^2$

$=625$

Here,

$b^2 + c^2≠a^2$

The given sides do not satisfy the property of Pythagoras theorem.

Therefore, the given triangle is not a right triangle.

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Updated on: 10-Oct-2022

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