Answer:
38.6 units^2
Step-by-step explanation:
To find the area of the largest (outside) triangle, we need to know the height of this triangle. Call it "height." Then:
sin 32 degrees = opp / hyp = height / 10
and this sine is equal to 0.551
and therefore:
and so the height is 10*sin 32 degrees, or 10(0.551) = 5.514
Then the area of the triangle is A = (1/2)(base)(height), where (height) is 5.514 units and (length) is 14 units.
So, A = (1/2)(14 units)(5.551 units) = 38.6 units^2
