Area of a triangle is given by which formula?

Area of a triangle is given by which formula?

• A. A=lw
• B. A=s^2
• C. A=bh
• D. A=1/2 bh

Answer: (D)

The area of a triangle comes from taking half of the product of its base and its height. The base is any side you choose, and the height is the perpendicular distance from that base to the opposite vertex. If you imagine a rectangle with the same base and height, you’d have the triangle occupying exactly half of that rectangle, so the area is half of base times height. That gives A = (1/2) × base × height. The other forms correspond to different shapes: a rectangle is base times height, a square is side squared, and a parallelogram uses base times height without the half. So the correct expression is A = 1/2 bh.

The area of a triangle comes from taking half of the product of its base and its height. The base is any side you choose, and the height is the perpendicular distance from that base to the opposite vertex. If you imagine a rectangle with the same base and height, you’d have the triangle occupying exactly half of that rectangle, so the area is half of base times height. That gives A = (1/2) × base × height. The other forms correspond to different shapes: a rectangle is base times height, a square is side squared, and a parallelogram uses base times height without the half. So the correct expression is A = 1/2 bh.