Question

SIMILAR TRIANGLES
Solve for x.

Answer 1

x = 21

Explanation:

If ΔABC and ΔAED are similar (AAA), then coresponding sides are in proportion.

`(AB)/(AE)=(AC)/(AD)=(BC)/(ED)`

We have

`AB=15,\ BC=x,\ AE=45,\ ED=63`

Substitute:

`(15)/(45)=(x)/(63)` cross multiply

`45x=(15)(63)`

`45x=945` divide both sides by 45

`x=21`