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.

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(13200) (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

ANSWER: AB = 6

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