CPM Homework Help : PCT Problem 1-89

The area of $ΔJKL$ is $30 \text{ in}^{2}$ . The length of side $JL$ is $12$ in. Find the length of side $KL$ .

Step 1:

Label the height.

Step 2:

Since the area of the triangle is given. What is the area of any triangle?

Answer 1:

$\frac{1}{2}\text{(base)(height)}$

Step 3:

Find h. Then find length KL by using the sine function.

Answer 2:

$\approx 8.51\text{ inches}$

Triangle, J K L, labeled as follows: Bottom side, J L, 12 inches, angle, L, 36 degrees, dashed segment from top vertex, K, perpendicular to bottom side