Question

In triangle ACD, what is the value of X?

A) 7.5
B) 8
C) 10
D) None of the choices are correct

Answer 1

x = 7.5

Explanation:

Given that BE is parallel to CD and intersects the 2 other sides, then it divides the 2 sides in proportion, that is

`\frac{\text{AB}}{\text{BC}}=\frac{\text{AE}}{\text{ED}}`, substitute values

`\frac{\text{x}}{6} =(10)/(8)` ( cross- multiply )

`8\text{x} = 60` ( divide both sides by 8 )

`\bold{x=7.5}`