# Using the Pythagorean Theorem, how do you find the length of a leg of a right triangle if the other leg is 8 feet long and the hypothenuse is 20?

Jun 10, 2016

Length of other leg of right triangle is $18.33$ feet

#### Explanation:

According to Pythagoras theorem, in a right angled triangle, the square of hypotenuse is equal to the sum of squares of other two sides.

Here in the right angled triangle, hypotenuse is $20$ feet and one side is $8$ feet,

the other side is

$\sqrt{{20}^{2} - {8}^{2}} = \sqrt{400 - 64} = \sqrt{336}$

= $\sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 7}$

= $4 \sqrt{21} = 4 \times 4.5826 = 18.3304$ say $18.33$ feet.