CPM Homework Help : GC Problem 4-65

Segments, A C, &, E B, are perpendicular, point B is between, A & C, point, D, is between, B & E, segments connects, A to D, & from, E to C, creating 2 triangles labeled as follows: Angle a, & angle e, each 1 tick mark, side, A D, 15, side, A B, 12, side, B C 9. Examine the diagram at right. If $\overline{AC}$ passes through point $B$ , then answer the questions below.

Are the triangles similar? If so, make a flowchart justifying your answer.
Hint (a):
What do the tick marks on the angles mean? What is $m∠B$ ? How can these help you determine if the triangles are similar?
Are the triangles congruent? Explain how you know.
Hint (b):
Use the Pythagorean Theorem to calculate the length of $\overline{BD}$ .