Question

I need to know the value of x in this triangle
Find x .

Answer 1

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:

`{b}^(2)={d} \cdot({c}+{d})`

`{x}^(2)={2} \cdot({6}+{2})`

`{x}^(2)={2} \cdot(8)`

`{x}^(2)=16`

Taking square root on both side of the equation.

x = 4

Hence the value of x is 4.