Question

spiral review • assessment readiness find the missing length of the triangle. which of the following is a correct response? show hints 5.4 18.2 29.0 4.3

Explanation:

Step1: Apply the Law of Cosines

The Law of Cosines formula for finding side $e$ in $\triangle EFG$ is $e^{2}=3.6^{2}+4^{2}-2\times3.6\times4\times\cos(68.1^{\circ})$.

Step2: Calculate each part

First, $3.6^{2}=12.96$, $4^{2} = 16$. And $\cos(68.1^{\circ})\approx0.3746$. Then $2\times3.6\times4\times\cos(68.1^{\circ})\approx2\times3.6\times4\times0.3746 = 10.86624$.

Step3: Find $e^{2}$

$e^{2}=12.96 + 16-10.86624=18.09376$.

Step4: Find $e$

$e=\sqrt{18.09376}\approx 4.3$.

Answer:

$4.3$