Hi there! Use the Pythagorean Theorem to find a missing side of a right triangle
[tex] \large \boxed{ {a}^{2} + {b}^{2} = {c}^{2} }[/tex]
Define that c is our hypotenuse. Substitute a = 5 and b = 12 in the equation.
[tex] \large{ {5}^{2} + {12}^{2} = {c}^{2} }[/tex]
Solve the equation for c.
[tex] \large{25 + 144 = {c}^{2} } \\ \large{169 = {c}^{2} } \\ \large{ \sqrt{169} = c} \\ \large{c = 13}[/tex]
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
