Question

what is the formula for finding the area of a triangle?
$a=(\frac{b_1 - b_2}{2})h$
$a=\frac{1}{2}bh$
$a = 2bh$
$a = bh$

Explanation:

Step1: Recall the formula derivation

A parallelogram can be divided into two congruent triangles. The area of a parallelogram is \(A = bh\) (base times height). Since a triangle is half of a parallelogram.

Step2: Write the formula for triangle area

The area of a triangle \(A=\frac{1}{2}bh\) where \(b\) is the base of the triangle and \(h\) is the height (the perpendicular distance from the base to the opposite vertex).

Answer:

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