Question

I need to find the Geometric mean of this triangle

Answer 1

Answer:

Geometric mean = $3\sqrt3$

Step-by-step explanation:

In order to find the geometric mean of the given triangle, we have to use the leg rule.

The leg rule states that:

$\frac{Hypotenuse}{Leg}=\frac{Leg}{part}$

The geometric mean is given as:

$Leg=\sqrt{Hypotenuse\times part}$

Here, the hypotenuse is the length of the longest side (PR) and the leg is QR.

The part length is SR.

Given:

SR = 3, PR = 9 and QR = 'y'

Therefore, the geometric mean is given as:

$QR=\sqrt{PR\times SR}\\\\y=\sqrt{9\times 3}\\\\y=\sqrt{27}=3\sqrt3$