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{ √(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