D. E are the points on the sides AB and AC of triangle ABC. Triangle ABC and triangle ade are similar triangles. If ad = 2cm, ab = 3cm, AC = 4cm, find the length of AE

D. E are the points on the sides AB and AC of triangle ABC. Triangle ABC and triangle ade are similar triangles. If ad = 2cm, ab = 3cm, AC = 4cm, find the length of AE

Triangle ABC and triangle ade are similar triangles in the following two cases
Situation one
Triangle ABC is similar to triangle ade
=>AD/AB=AE/AC
=>AE=(AD*AC)/AB=(2*4)/3=8/3
Situation 2
Triangle ABC is similar to triangle AED
=>AE/AB=AD/AC
=>AE=(AD*AB)/AC=(2*3)/4=1.5