Answer:
see attached
Explanation:
You want the areas of the four triangles in the figure.
Triangle area
The area of a triangle is given by the formula ...
A = 1/2bh
where b is the base of the triangle, and h is its height perpendicular to the base.
Triangles A, B, C are right triangles, so their areas are easy to figure. Triangle D will be the difference between the area of the square and the areas of the other triangles.
The calculations are shown in the first attachment. Confirmation is provided by a geometry program in the second attachment.
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Additional comment
If all you have are the coordinates of the vertices of triangle D, this method of finding its area is as good as any. There are other methods that can also be used, but they can be more trouble.
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