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Check whether the given sides of a triangle form a right angled triangle.$a = 9, b = 12$ and $c = 16
Given :
The given lenghts are $a = 9, b = 12$ and $c = 16$.
To do :
We have to check whether the given sides of a triangle form a right-angled triangle.
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,
$AC^2 = AB^2 + BC^2$
$a = 9, b =12$ and $c = 16$
$a^2+b^2= 9^2+12^2=81+144 = 225$
$c^2= 16^2= 256$
LHS not equal to RHS.
Therefore, the given lengths of the sides do not form a right-angled triangle.
Updated on: 10-Oct-2022
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