Question

explain how you know that the two triangles have the same area.

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A = \frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Measure bases and heights

By counting the grid - squares, we can see that both triangles have the same base length (number of horizontal grid - squares along the bottom) and the same height (number of vertical grid - squares from the base to the opposite vertex).

Step3: Apply the formula

Since both triangles have the same values for $b$ and $h$, when we substitute these values into the area formula $A=\frac{1}{2}bh$, we get the same area for both triangles.

Answer:

Both triangles have the same base and height, so using the area formula $A = \frac{1}{2}bh$, they have the same area.