Answer :

The calculated value of x in the triangle is 2/3

How to find the value of x.

From the question, we have the following parameters that can be used in our computation:

The figure

Using the proportional side lengths, we have

3x/6 = (x + 2)/8

By cross multiplication. we have

3x * 8 = 6 * (x + 2)

This gives

24x - 6x = 12

So, we have

18x = 12

Divide

x = 12/18

Simplify

x = 2/3

Hence, the value of x is 2/3

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