Question

A triangle has side lengths of 6,8 and 10. is it a right angle?Explain

Answer 1

Given

The side lengths are given 6,8,10.

Explanation

The figure is shown as

To determine the triangle is the right triangle.

The Pythagoras theorem is to be satisfied.

`AC^2=AB^2+BC^2`

Substitute the value of AC, AB, BC in the above formula for check the triangle is the right triangle.

`\begin{gathered} 10^2=6^2+8^2 \\ 100=36+64 \\ 100=100 \end{gathered}`

Answer

Thus the given sides of the triangle is satisfied the Pythagoras theorem.

Hence the triangle is the right triangle.