The area of the triangle is 36 square yards.
The area of a triangle is calculated using the formula:
Area= 1/2 ×Base × Height
In this case, the given values are a base of 9 yards and a height of 8 yards. Plugging these values into the formula:
Area= 1/2 ×9 yd ×8 yd
Area= 1 /2 ×72yd^2
Area=36yd^2
Therefore, the area of the triangle is 36square yards.
The formula for the area of a triangle is derived from the fact that a triangle can be visualized as half of a rectangle.
The base of the triangle is equivalent to the base of the rectangle, and the height of the triangle is equivalent to the height of the rectangle.
Multiplying the base and height of the rectangle gives the area of the rectangle, and dividing by 2 accounts for the fact that a triangle is half of a rectangle.
In practical terms, the area of a triangle is crucial in various fields such as architecture, engineering, and physics.
It allows for the determination of space occupied by a triangular shape, aiding in calculations related to construction, fluid dynamics, and other applications.