Question

Is a triangle whose sides measure 1.25 in ,0.75 in and 1 in, a right triangle?

Answer 1

In a right triangle, the largest side is called the hypotenuse. Furthermore, from the Pythagorean Theorem, the following relation is satisfied:

`c^2=a^2+b^2`

To find if those measures correspond to a right triangle, verify if it satisfies the Pythagorean Theorem:

`\begin{gathered} 1.25^2=1.5625 \\ 1^2+0.75^2=1.5625 \end{gathered}`

Then:

`1.25^2=1^2+0.75^2`

Therefore, the sides of lengths 1.25 in, 1 in and 0.75 in are indeed the sides of a right triangle.