Question

what is the formula for finding the area of a triangle? 1 point base + height base × height ½ × base × height 2 × base × height why is the area of a triangle half the area of a rectangle with the same base and height? 1 point a triangle takes up exactly half the space of a rectangle when they share the same base and height

Explanation:

Step1: Identify triangle area formula

The standard formula for the area of a triangle is derived from the area of a parallelogram (which includes rectangles) with the same base and height.

Step2: Match to correct option

The formula is $\frac{1}{2} \times \text{base} \times \text{height}$.

Step3: Explain the area relationship

When a triangle and rectangle share the same base and height, the triangle occupies half the rectangle's area, as the rectangle can be split into two congruent triangles of equal area.

Answer:

1. $\frac{1}{2} \times \text{base} \times \text{height}$
2. A triangle takes up exactly half the space of a rectangle when they share the same base and height