Question

the formula for the area of a parallelogram is a = bh. explain why the formula for the area of a triangle is a = 1/2bh.

Explanation:

Step1: Consider two congruent triangles

Two identical triangles can be combined to form a parallelogram.

Step2: Analyze the relationship of area

The area of the parallelogram formed by the two congruent triangles is $A = bh$. Since the two triangles are congruent, the area of one - triangle is half of the area of the parallelogram.

Answer:

The area of a triangle is $A=\frac{1}{2}bh$ because two congruent triangles can be combined to form a parallelogram with area $A = bh$, so the area of a single triangle is half of that of the parallelogram.