Answer: 48 square units
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Explanation:
Draw a vertical line to cut the triangle into two equal parts. You'll get two right triangles.
The horizontal leg of one of those smaller triangles is 12/2 = 6 units. The hypotenuse is 10 units. Through the pythagorean theorem, you should find the vertical leg is 8 units.
We have a 6-8-10 right triangle.
The area of this smaller triangle is base*height/2 = 6*8/2 = 48/2 = 24 square units.
So the area of the larger triangle is 2*24 = 48 square units.
