Question 1157989
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Draw a rough sketch of the figure.<br>
AP=3, AQ=4, and PC=5 are given; it follows that AC=8.<br>
With Angle APQ congruent to angle B, triangles AQP and ACB are similar.  So<br>
{{{AQ/AP = AC/AB}}}
{{{4/3 = 8/AB}}}
{{{AB = 6}}}<br>
ANSWER: AB = 6<br>