Respuesta :
[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
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