Question

Dominick drew a triangle on a map connecting his house, his school, and his favorite skate park. He used a scale on the map to determine that the height of the triangle that he drew represented 2 miles, and the base of the triangle that he drew represented 6 miles. What is the area of the triangle in square miles?

A triangle has points House, skate park, school. The height of the triangle is 2 miles and the base is 6 miles.

Use the formula for the area of a triangle, A = one-half b h, where A is the area of the triangle, b is the base, and h is the height.

Square miles

Answer 1

To find the area of the triangle, we can use the formula for the area of a triangle:

\[
A = \frac{1}{2} \times b \times h
\]

where \( A \) is the area, \( b \) is the base, and \( h \) is the height.

In this case:
- The base \( b \) is 6 miles.
- The height \( h \) is 2 miles.

Now, we can substitute these values into the formula:

\[
A = \frac{1}{2} \times 6 \times 2
\]

Calculating this:

\[
A = \frac{1}{2} \times 12 = 6
\]

Thus, the area of the triangle is

\[
\boxed{6} \text{ square miles.}
\]