Question

the area of the triangle is 0.12 square kilometers.
0.7 km
0.8 km
what is the triangles height, h?
h = kilometers
submit

Explanation:

Step1: Recall the formula for the area of a triangle

The area \( A \) of a triangle is given by the formula \( A=\frac{1}{2}\times base\times height \), which can be written as \( A = \frac{1}{2}bh \), where \( b \) is the base and \( h \) is the height.

Step2: Identify the known values and substitute into the formula

We know that the area \( A = 0.12 \) square kilometers and the base \( b = 0.8 \) kilometers. Substituting these values into the formula \( A=\frac{1}{2}bh \), we get:
\( 0.12=\frac{1}{2}\times0.8\times h \)

Step3: Solve for \( h \)

First, simplify the right - hand side of the equation. \( \frac{1}{2}\times0.8 = 0.4 \), so the equation becomes:
\( 0.12 = 0.4h \)
To solve for \( h \), divide both sides of the equation by \( 0.4 \):
\( h=\frac{0.12}{0.4} \)
\( h = 0.3 \)

Answer:

\( 0.3 \)