Question

the area of the triangle is 8 square miles.
what is the triangles height, h?
h = \boxed{} miles

Explanation:

Step1: Recall triangle area formula

The area \( A \) of a triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base is 4 miles, the area is 8 square miles, and the height is \( h \) (which we need to find). So the formula becomes \( 8 = \frac{1}{2} \times 4 \times h \).

Step2: Simplify and solve for \( h \)

First, simplify the right - hand side of the equation. \( \frac{1}{2} \times 4=2 \), so the equation is \( 8 = 2h \). Then, divide both sides of the equation by 2: \( h=\frac{8}{2}=4 \).

Answer:

4