# The length of the hypotenuse in a right triangle is 20 centimeters. If the length of one leg is 16 centimeters, what is the length of the other leg?

Apr 24, 2018

$\text{12 cm}$

#### Explanation:

From $\text{Pythagoras Theorem}$

${\text{h"^2 = "a"^2 + "b}}^{2}$

where

• $\text{h =}$ Length of hypotenuse side
• $\text{a =}$ Length of one leg
• $\text{b =}$ Length of another leg

("20 cm")^2 = ("16 cm")^2 + "b"^2

"b"^2 = ("20 cm")^2 - ("16 cm")^2

"b" = sqrt(("20 cm")^2 - ("16 cm")^2)

"b" = sqrt("400 cm"^2 - "256 cm"^2)

"b" = sqrt("144 cm"^2)

$\text{b = 12 cm}$