Given the triangle below, use the law of cosines to solve for x

asked Sep 19, 2023 102k views

5 votes

7.5k points

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2 votes

Answer:

The correct option is B

x = 7.75

Step-by-step explanation:

To find the value of C using cosines law, we have:

$\begin{gathered} x^2=a^2+b^2-2ab\cos C \\ \\ =2^2+9^2-2(9)(2)\cos46 \\ \\ =85-36\cos46 \\ \\ x^2=59.99 \\ \\ x=√(59.99)\approx7.75 \end{gathered}$

Ed Mazur answered Sep 25, 2023

7.6k points

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