Question

find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed.
a. 82.8
b. 86.9
c. 91.2
d. 93.6

Explanation:

Step1: Calculate triangle area

$\text{Area} = \frac{1}{2} \times 120 \times 126 = 7560$

Step2: Identify hypotenuse length

Hypotenuse $c = 174$

Step3: Solve for altitude $h$

Use $\text{Area} = \frac{1}{2} \times c \times h$
$7560 = \frac{1}{2} \times 174 \times h$
$h = \frac{2 \times 7560}{174} = \frac{15120}{174} \approx 86.9$

Answer:

B. 86.9