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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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