The area of triangle shaded on the diagram is equal to 3a/2 square units.
In Mathematics and Euclidean Geometry, the area of a triangle can be calculated by using the following mathematical equation (formula):
Area of triangle = 1/2 × b × h
Where:
- b represent the base area.
- h represent the height.
Based on the diagram, we can logically deduce the following:
base, b = a units.
height, h = 3 units.
By substituting the given side lengths into the formula for the area of a triangle, we have the following;
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × a × 3
Area of triangle = 3a/2 square units.