if ∆ABC~DEF, AB=8cm, BC=12cm,EF=10cm,DF=15cm what length of AC?

Answer 1

To find the length of AC, we can set up a proportion using the corresponding sides of the two similar triangles:

AC/DF = BC/EF

Substitute in the given values:

AC/15 = 12/10

Cross multiply:

10AC = 15 * 12
10AC = 180
AC = 180 / 10
AC = 18 cm

Therefore, the length of AC is 18 cm.