Question

4. Given the following lengths, determine if the shape is a RIGHT triangle:10, 6, 8 ((2 points: 1 point for correct answer, 1 point for showing yourwork) *Your answer

Answer 1

Lets suppose we have a right triangle:

where the longest side is opposite of the right angle. (10 in our case).

Since we have a right triangle, Pythagorean theorem must be fulfilled:

`6^2+8^2=10^2`

Which gives

`\begin{gathered} 36+64=100 \\ 100=100 \end{gathered}`

Since the left and right sides are equal, the given triangle is a right triangle.