What is the area of the figure below?
The figure is triangle with a dashed altitude drawn from the top vertex to the bottom side.The right side of the triangle is 5 inches.
The left side is 10.8 inches.
The left part of the bottom side to the altitude is 10 inches.
The right part of the bottom side from the altitude is 3 inches.
The altitude is 4 inches.
(1 point)
Responses
26 in.²
26 in.²
27 in.²
27 in.²
52 in.²
52 in.²
54 in.²
54 in.²
27 in.²
To find the area of the triangle, we can split it into two smaller triangles by drawing the altitude. The area of a triangle is given by the formula: 1/2 * base * height.
For the left triangle:
Base = 10 inches
Height = 4 inches
Area = 1/2 * 10 * 4 = 20 in.²
For the right triangle:
Base = 3 inches
Height = 4 inches
Area = 1/2 * 3 * 4 = 6 in.²
Total area = 20 in.² (left triangle) + 6 in.² (right triangle) = 26 in.²
Therefore, the area of the figure below is 26 in.².