The value of x is 4.
Solution:
The reference image for the geometric mean of the right triangle is given below.
b = x, c = 6 and d = 2
By the property of similar right triangle:
[tex]{b}^{2}={d} \cdot({c}+{d})[/tex]
[tex]{x}^{2}={2} \cdot({6}+{2})[/tex]
[tex]{x}^{2}={2} \cdot(8)[/tex]
[tex]{x}^{2}=16[/tex]
Taking square root on both side of the equation.
x = 4
Hence the value of x is 4.
