SOLUTION: Triangle ABC has P on AC, Q on AB, and angle APQ equal to angle B. The lengths AP = 3, AQ = 4, and PC = 5 are given. Find the length of AB.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Triangle ABC has P on AC, Q on AB, and angle APQ equal to angle B. The lengths AP = 3, AQ = 4, and PC = 5 are given. Find the length of AB.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1157989: Triangle ABC has P on AC, Q on AB, and angle APQ equal
to angle B. The lengths AP = 3, AQ = 4, and PC = 5 are given. Find the length of AB.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Draw a rough sketch of the figure.

AP=3, AQ=4, and PC=5 are given; it follows that AC=8.

With Angle APQ congruent to angle B, triangles AQP and ACB are similar. So

AQ%2FAP+=+AC%2FAB
4%2F3+=+8%2FAB
AB+=+6

ANSWER: AB = 6