Question: Jazlyn wants to purchase a triangular trampoline.
What is the formula for finding the area of
a triangle?
A = (b1 + b2)/2 h
A = bh
A = 1/2 bh
A = 2bh
Right side shows a triangle with base labeled b at the bottom and a dashed vertical height labeled h from the top vertex to the base; position_hint ∈ {top-right, center}.
1. The problem asks for the formula to find the area of a triangle.
2. The area of a triangle is given by the formula:
$$A = \frac{1}{2}bh$$
where $b$ is the base length and $h$ is the height (altitude) perpendicular to the base.
3. Explanation of other options:
- $A = (b_1 + b_2)/2 \times h$ is the formula for the area of a trapezoid, not a triangle.
- $A = bh$ is the area formula for a rectangle, not a triangle.
- $A = 2bh$ is incorrect and does not represent any standard area formula.
4. Therefore, the correct formula for the area of a triangle is:
$$A = \frac{1}{2}bh$$
This means you multiply the base by the height and then divide by 2 to get the area.
5. This formula works because a triangle is essentially half of a rectangle or parallelogram with the same base and height.
Final answer: $$A = \frac{1}{2}bh$$