Question

Find the unknown length in the right triangle if necessary approximate the length and to the nearest thousandth answer choices are 90 feet 13.416 feet or 9 feet

Answer 1

The Pythagorean's Theorem

The lengths of the three sides of a right triangle can be related by the Pythagorean formula as follows:

$c^2=a^2+b^2$

Where c is the hypotenuse and a and b are the legs of the triangle.

The figure shows a right triangle where both legs are given as a = 6 ft and b = 12 ft. Applying the formula:

$\begin{gathered} c^2=6^2+12^2 \\ c^2=36+144 \\ c=\sqrt[]{180} \end{gathered}$

Approximating to the nearest thousandth:

c = 13.416 ft