Question

Tell whether the given side lengths form a right triangle. 6, 11, 16

Answer 1

Given:

The lengths of the sides of a triangle are 6, 11, 16.

To find:

Whether the given triangles is a right angle triangle or not.

Solution:

Pythagoras theorem:

$Hypotenuse^2=Perpendicular^2+Base^2$

A triangle is a right angle triangle if the sum of squares of two smaller sides is equal to the square of the largest sides.

In the given triangle the length of the largest side is 16.

Square of the largest sides is:

$16^2=256$

Sum of the squares of the two smaller sides is:

$6^2+11^2=36+121$

$6^2+11^2=157$

Since $6^2+11^2\neq 16^2$, therefore the given triangle is not a right angle triangle.