Triangle ABC has a perimeter of 150 inches. The measure of angle A is 90^\circ, and \sin B=\dfrac{5}{13}. What is the length of \overline{AB}, in inches?




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you know its a 5/12/13 triangle and the sum is 30 that sticks out because if you multiply that by 5 you get the 150 so then you just 12 x 5 to get 60 you know the soh is 5/13 so the leg that connects to the right triangle is the other longer leg or 12.

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