Question

What is the measure of the third side of the triangle shown?

Answer 1

Answer: A

Step-by-step explanation:

This is a right triangle. In a right triangle, to know the length of sides, we can use the Pythagorean Theorem.

Pythagorean Theorem:

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

Where

c is the hypotenuse (side opposite to 90 degree angle)

a and b are the two legs of the triangle

We put the known info into the formula and figure out "c", the unknown side:

`\begin{gathered} c^2=a^2+b^2 \\ c^2=5^2+12^2 \\ c^2=25+144 \\ c^2=169 \\ c=\sqrt[]{169} \\ c=13 \end{gathered}`

The length of the unknown side is 13 inches