Question

If triangle ABC ~ triangle EDC, then the value of X is

A) 8.
B) 12.
C) 10.
D) None of the choices are correct.

Answer 1

x = 8

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

`\frac{\text{BC}}{\text{DC}} =\frac{\text{AC}}{\text{EC}}`, substitute values

`\frac{\text{x}}{10} =(12)/(15)` ( cross- multiply )

`15\text{x} = 120` ( divide both sides by 15 )

`\bold{x = 8}`