# One leg of a right triangle is 8 feet. The other leg is 6 feet. What is the length of the hypotenuse?

May 21, 2018

$10$ feet

#### Explanation:

The Pythagorean theorem states that,

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

where:

• $a$ is the first leg of the triangle

• $b$ is the second leg of the triangle

• $c$ is the hypotenuse (longest side) of the triangle

So, we get:

${c}^{2} = {\left(8 \setminus \text{ft")^2+(6 \ "ft}\right)}^{2}$

$= 64 \setminus {\text{ft"^2+36 \ "ft}}^{2}$

$= 100 \setminus {\text{ft}}^{2}$

$\therefore c = \sqrt{100 \setminus {\text{ft}}^{2}}$

$= 10 \setminus \text{ft} \setminus \left(\because c > 0\right)$