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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.

Triangle ABC is given where mA 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 class=

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Answer:

2 Triangles can be made with the given measurements

Step-by-step explanation:

Start by solving for side b

b = 9/sin33 = appr 16.5

9<15<16.5 there are two possible triangles

sin33/15 = sinB/16.5 = sinB=(16.5sin33)/15

B=36.9, 180-36.9=143.1 Next determine if the angles are correct

36.9+33=69.9 143.1+33=176.1 Both of these are less than 180, two triangles can be drawn.

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