If triangle ABC~ triangle EDC, then the value of X is:
![If triangle ABC triangle EDC then the value of X is class=](https://us-static.z-dn.net/files/d71/f6a77ae7b0b4a154e5653c043f451e3d.png)
Answer:
x = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DC}[/tex] = [tex]\frac{AC}{EC}[/tex], substitute values
[tex]\frac{x}{10}[/tex] = [tex]\frac{12}{15}[/tex] ( cross- multiply )
15x = 120 ( divide both sides by 15 )
x = 8