Triangle ABC is given where m∠A=33°, a = 15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer

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  1. two
    draw a right triangle with angle A=33° and altitude 9.
    That makes the hypotenuse AC = 16.5, and the base AB = 10.7
    We want side a (BC) to be 15.
    So, draw a circle with center at C and radius 15. It cuts the extended side AB in two places, either of which could be vertex B.

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