Question

jazlyn wants to purchase a triangular trampoline. what is the formula for finding the area of a triangle? $a = 2bh$ $a = bh$ $a = \frac{1}{2}bh$ $a = \left(\frac{b_1 + b_2}{2}\
ight)h$

Explanation:

Step1: Recall the formula for the area of a triangle

The area of a triangle is calculated by taking half of the product of its base \(b\) and height \(h\).
$$A=\frac{1}{2}bh$$

Step2: Analyze each option

• For \(A = 2bh\), this is incorrect as it over - multiplies the base and height.
• For \(A=bh\), this is the formula for the area of a parallelogram (not a triangle).
• For \(A=\frac{1}{2}bh\), this is the correct formula for the area of a triangle.
• For \(A = (\frac{b_1 + b_2}{2})h\), this is the formula for the area of a trapezoid (where \(b_1\) and \(b_2\) are the two parallel bases).

Answer:

\(A=\frac{1}{2}bh\) (the third option in the given choices)