Question

What is the value of x?12 units15 units20 units25 units

Answer 1

Answer:

The value of x equals 12 units

Step-by-step explanation:

simple maths :)

Answer 2

Answer:

∴ The value is 12 units

Step-by-step explanation:

From Geometric Mean Theorem we know that,

In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.

The length of the altitude is the geometric mean of the lengths of the two segments.

So, Above theorem apply in the diagram;

$\frac{ST}{RT}=\frac{RT}{TQ}$

Plug RT=x , ST=9 and TQ=16 from diagram;

$\frac{9}{x}=\frac{x}{16}$

$x^{2} =9\times 16$

$x^{2} =144$

$x=12$

∴ The value is 12 units