In the triangle ABC, ad is the angle bisector, ab = 5, AC = 4, BC = 7. Please use the method of similar triangle to find the length of BD and DC

In the triangle ABC, ad is the angle bisector, ab = 5, AC = 4, BC = 7. Please use the method of similar triangle to find the length of BD and DC

Let de ∥ AC intersect AB with E, then de = AE, ⊿ BDE ∥ BCA, ∥ de / AC = be / BA, de = 20 / 9, so BD / BC = de / AC, BD = 35 / 9, DC = 28 / 9