Find the area of . a. 202.9 square units b. 215 square units c. 238.7 square units d. 273 square units

I have attached the image of triangles QRS.

First lets determine the inner angles of the triangle. Angle Q = 180 - 132 = 48
Angle S = 180 - 124 = 56. Therefore, angle S = 180 - 48 - 56 = 76.

To find the area of a triangle we need the formula: A = hb/2 where a straight line is draw from angle S to side QS to form a right triangle. The line from angle S to the base QS, is called h. We just solve for side h which we can do using:

sin76 = h/21
h = 20.38

b = 23.43

A = (23.43)(20.38)/2
A = 238.7 square units.

The answer is option C) 238.7 square units.

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