Question

How do i solve this?

Answer 1

38.6 units^2

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