Answer:
The area of the shaded figure is 24 square units.
Step-by-step explanation:
The area of the shaded figure is calculated by calculate the large right triangle first and subtract a small right triangle from the initial figure by definition of area formula of the triangle:
[tex]A = \frac{1}{2}\cdot (8)\cdot \left(6 + \sqrt{10^{2}-8^{2}}\right) - \frac{1}{2}\cdot (8)\cdot \sqrt{10^{2}-8^{2}}[/tex]
[tex]A = 24[/tex]
The area of the shaded figure is 24 square units.
