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
There can be two distinct triangles that can be made with the given measurements. This is because when the base and height of a triangle are fixed, the angle opposite the base can be adjusted to create two different triangles.
In this case, we are given that angle A is 33 degrees, which means that angle B can either be greater than 90 degrees or less than 90 degrees. This will result in two distinct triangles being formed.
Therefore, there can be two distinct triangles formed with the given measurements.