Answer:
Geometric mean = [tex]3\sqrt3[/tex]
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:
[tex]\frac{Hypotenuse}{Leg}=\frac{Leg}{part}[/tex]
The geometric mean is given as:
[tex]Leg=\sqrt{Hypotenuse\times part}[/tex]
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:
[tex]QR=\sqrt{PR\times SR}\\\\y=\sqrt{9\times 3}\\\\y=\sqrt{27}=3\sqrt3[/tex]
