Question

PLS HELP ASAP What is the value of x?

a. 12 units

b. 15 units

c. 20 units

d. 25 units

Answer 1

a. 12 units

Step-by-step explanation

According to the altitude theorem, RT which is the altitude, is equal to the geometric mean of TQ and TS, the segments created by the foot of the altitude on the hypotenuse.

This implies that:

`x = √(TQ * TS)`

From the diagram, TQ=16 and TS=9.

We substitute these values and solve for x.

`x = √(9 * 16)`

`x = √(144)`

`x = 12`

Therefore x is 12 units.

The correct answer is A