1 Answer

Turnt · Answer 1 · 2023-04-20T06:38:26+0000

In this problem we have two sides of the triangle and one algle that is between the known sides, so we can use the cos law:

$x^2=a^2+b^2-2ab\cos (\theta)$

and in our problem is going to be:

$x^2=5^2+7^2-2(5)(7)\cos (90)$

we know that cos(90) = 0, then the expression will be:

$\begin{gathered} x^2=25+49 \\ x^2=74 \\ x=\sqrt[]{74} \end{gathered}$

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