Question

what is the value of x?
12 units
15 units
20 units
25 units

Explanation:

Step1: Find length of SQ

$SQ = ST + TQ = 9 + 16 = 25$

Step2: Use geometric mean theorem

In right triangle $SRQ$, altitude $RT$ (length $x$) satisfies $x^2 = ST \times TQ$

Step3: Substitute values and solve

$x^2 = 9 \times 16 = 144$
$x = \sqrt{144} = 12$

Answer:

12 units