Question

question 7 of 10

what is the value of (h) in the figure below? in this diagram, (\delta bad \sim \delta cbd).

a. (\frac{16}{9})
b. 16
c. 12
d. 400
e. (\frac{25}{9})
f. (\sqrt{225})

Explanation:

Find the length of segment AD

Using the Similar Right Triangles knowledge point

$$
LATEXBLOCK0
$$

Set up the geometric mean proportion

Using the Geometric Mean Theorems knowledge point

$$
LATEXBLOCK1
$$

Solve for h

Using the Geometric Mean Theorems knowledge point

$$
LATEXBLOCK2
$$

Answer:

• A. \(\frac{16}{9}\)
• B. 16
• C. 12 (Correct answer)
• D. 400
• E. \(\frac{25}{9}\)
• F. \(\sqrt{225}\)