Question

analyze the diagram below and complete the instructions that follow.
find the value of x. round the answer to the nearest tenth, if needed.
a. 6.9
b. 15.9
c. 36.8
d. 42.3

Explanation:

Step1: Identify geometric relationship

In a right triangle, the altitude to the hypotenuse satisfies: $x^2 = 12 \times 21$

Step2: Calculate product of segments

$12 \times 21 = 252$

Step3: Solve for x

$x = \sqrt{252} \approx 15.9$

Answer:

B. 15.9