The sides of the triangle are 10, 24, 26. Check whether this is a right triangle.

Given :

10, 24, 26 are the sides of the triangle. 

To do :

We have to check whether the triangle is right-angled or not.

Solution : 

To check whether the given measurements form a right-angled triangle, we have to use the Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of its remaining two sides.

According to the Pythagoras theorem, in the above triangle,

$AC^2 = AB^2 + BC^2$

$a = 10, b =24$ and $c = 26$

$a^2+b^2= 10^2+24^2=100+576 = 676$

$c^2= 26^2= 676$

$a^2 + b^2 = c^2$

Therefore, the given lengths of the sides form a right angled triangle.

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Updated on: 10-Oct-2022

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