Please help me on this problem

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asked Oct 15, 2022 156k views

1 Answer

Taylor · Answer 1 · 2022-10-20T19:02:58+0000

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.

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