Find the area in square units of the shaded region.

Question

Find the area in square units of the shaded region.

8

10

A right triangle contains a smaller right triangle. There are two points and two labeled sides.

1. The midpoint of one leg of the larger triangle is labeled A. This leg is labeled 8.
2. The midpoint of the other leg of the larger triangle is labeled B. This leg is labeled 10.
3. The smaller right triangle shares its 90° angle with the larger triangle. A and B are the vertices at the other angles of the smaller triangle.
4. The area inside the larger triangle but outside the smaller triangle is shaded light blue.

A and B are midpoints.

Answer 1

Area A = 10·8/2 - 5·4/2 = 40 - 10 = 30