In the diagram below, if the measure of < C = 45 °, and side AC = 10, then side BC = _____.

TravisJ asked Sep 6, 2023

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TravisJ asked Sep 6, 2023

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22 votes

Solution:

Given:

Using the trigonometric ratio of cosine,

$\begin{gathered} cos\theta=(adjacent)/(hypotenuse) \\ cos45=(BC)/(10) \\ BC=10* cos\text{ 45} \\ BC=10*(√(2))/(2) \\ BC=5√(2) \end{gathered}$

Therefore, OPTION A is correct.

Boaz Nahum answered Sep 12, 2023

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