CPM Homework Help : INT3 Problem 2-47

The right triangle shown at right has a height ( $\overline { BC }$ ) of $12.0$ cm, and its area is $60.0$ square cm. What are $m∠B$ and the length of the hypotenuse?

Hint:

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

Help:

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

Try using the Pythagorean Theorem.

More Help:

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

Answer:

$m\measuredangle B=\tan^{-1}\frac{10}{12}\approx40^\circ$

$\sqrt{244}\approx15.6$ cm

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