Question

what is the formula for finding the area of a triangle?

$a=(\frac{b_1 + b_2}{2})h$

$a = 2bh$

$a=\frac{1}{2}bh$

$a = bh$

Explanation:

The formula for the area of a triangle is derived from the relationship between a triangle and a parallelogram. A parallelogram with base \(b\) and height \(h\) has an area of \(A = bh\). A triangle is half of a parallelogram. So, the area of a triangle is \(A=\frac{1}{2}bh\), 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 third option in the given list)