Question

Please help me on this problem

Answer 1

Hi there! Use the Pythagorean Theorem to find a missing side of a right triangle

$\large \boxed{ {a}^{2} + {b}^{2} = {c}^{2} }$

Define that c is our hypotenuse. Substitute a = 5 and b = 12 in the equation.

$\large{ {5}^{2} + {12}^{2} = {c}^{2} }$

Solve the equation for c.

$\large{25 + 144 = {c}^{2} } \\ \large{169 = {c}^{2} } \\ \large{ \sqrt{169} = c} \\ \large{c = 13}$

Note that we are solving for a length of a triangle. Thus, negative values cannot be an answer.

Answer

• The length of hypotenuse is 13 meters