CPM Homework Help : CCA2 Problem 1-114

The right triangle shown at right has a height of ( $m\overline{BC}$ ) of $12$ cm, and its area is $60$ square cm. Find $m∠B$ and the length of the hypotenuse.

Hint:

$\text{Use }A=\frac{1}{2}bh\text{ and solve for }b.$

More Help 1:

Use the answer from the previous hint to find the length of $\overline{AB}$ .
Try using the Pythagorean Theorem.

More Help 2:

$\text{Remember that tan}B=\frac{\text{opp}}{\text{adj}}.$

Answer:

$m\measuredangle B\approx39.8^\circ\ \ \ \ \sqrt{244}\approx15.62$

Labels added to right triangle as follows: a, c, 10, b, c, 12, a, b, square root of 244. Title: Area equals 60 square centimeters.

Right triangle, with points labeled so that the horizontal leg is, A C, & vertical leg is, B C.