The length of one of the legs in a right triangle is
11 inches. The hypotenuse is 20 inches long.
What is the length of the other leg?

Respuesta :

10n31y

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]

[tex] {20}^{2} - {11}^{2} = {279}^{2} [/tex]

[tex] \sqrt{279} = 16.7 \: inches[/tex]

Length of the the other leg in the right triangle is 16.7 inches

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle

Length of the one leg = 11 inches

Hypotenuse = 20 inches

Plot the figure using the given data

From the figure

[tex]AC^{2}=AB^{2}+BC^{2} \\BC=\sqrt{AC^{2}-AB^{2} } \\BC=\sqrt{20^{2}-11^{2} } \\BC=\sqrt{400-121} \\BC=\sqrt{279}[/tex]

BC= 16.7 inches

Hence, the length of the other leg is 16.7 inches

Learn more about Right triangle here

https://brainly.com/question/6322314

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