Question

how can you use the base and height of any triangle to calculate its area? (accompanied by an image of four triangles on a grid, each labeled with base and height)

Explanation:

Step1: Recall triangle area formula

The formula for the area of a triangle is $A = \frac{1}{2} \times \text{base} \times \text{height}$, where "base" is the length of the base side, and "height" is the perpendicular distance from the base to the opposite vertex.

Step2: Apply the formula

To calculate the area, identify the base (let's say length $b$) and the corresponding height (length $h$) of the triangle. Then substitute these values into the formula: $A = \frac{1}{2}bh$.

Answer:

To calculate a triangle’s area, use the formula \( A = \frac{1}{2} \times \text{base} \times \text{height} \), where base is the length of a side, and height is the perpendicular distance from that base to the opposite vertex. Substitute the base and height values into the formula to find the area.