Question

A triangle has side lengths 85, 84 and 13. Is the triangle a right triangle? Explain.хe² +6² = ²Pythagorean Theorem852 +842 = 132 Substitution Property7225+2056=169✓Submitma85 >89 B

Answer 1

We have the following:

In a right triangle, the longest side belongs to the hypotenuse, therefore

`\begin{gathered} c^2=a^2+b^2 \\ a=84 \\ b=13 \\ c=85 \end{gathered}`

replacing:

`\begin{gathered} 85^2=84^2+13^2 \\ 7225=7225 \end{gathered}`

Therefore, if it is a right triangle