Math Snap

STEP 1

Assumptions1. The two triangles are denoted as $\Delta ABC$ and $\Delta DEF$.
. Both triangles have the same base length, denoted as $b$.
3. Both triangles have the same height, denoted as $h$.

STEP 2

The area of a triangle is given by the formula$$Area = \frac{1}{2} \times base \times height$$

STEP 3

Let's calculate the area of $\Delta ABC$ using the formula.$$Area_{ABC} = \frac{1}{2} \times b \times h$$

STEP 4

Now, let's calculate the area of $\Delta DEF$ using the same formula.
$$Area_{DEF} = \frac{1}{2} \times b \times h$$

Since both $Area_{ABC}$ and $Area_{DEF}$ are calculated using the same base and height, they are equal.
$$Area_{ABC} = Area_{DEF}$$Therefore, we have proved that the two triangles $\Delta ABC$ and $\Delta DEF$ have the same area.