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

TravisJ asked Sep 6, 2023

61,861 views

12 votes

TravisJ asked Sep 6, 2023

2.9k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

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

2.7k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers