The area of a triangle with base b and height h is

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Multiple Choice

The area of a triangle with base b and height h is

Explanation:
Think of how area scales with base and height. For a rectangle with the same base and height, the area is bh. A triangle that shares that same base and height sits inside half of that rectangle, so its area is half of bh. That gives bh/2 as the area formula. So the proper expression is bh divided by 2. The other options describe different shapes: bh is the rectangle area, pi r^2 is for a circle, and 2 bh is twice the rectangle area, not a triangle’s area.

Think of how area scales with base and height. For a rectangle with the same base and height, the area is bh. A triangle that shares that same base and height sits inside half of that rectangle, so its area is half of bh. That gives bh/2 as the area formula.

So the proper expression is bh divided by 2. The other options describe different shapes: bh is the rectangle area, pi r^2 is for a circle, and 2 bh is twice the rectangle area, not a triangle’s area.

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