Question

What is the base of a triangle that has a height of 6 centimeters and an area of 18 centimeters?

Use the formula h = StartFraction 2 A Over b EndFraction, where A represents the area of the triangle, h represents the height, and b represents the length of the base.
One-third centimeter
Two-thirds centimeters
3 Centimeters
6 Centimeters

Answers

GPT-4o mini
To find the base \( b \) of the triangle using the given area \( A \) and height \( h \), we can use the formula:

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

Given that:
- Height \( h = 6 \) cm
- Area \( A = 18 \) cm²

We can rearrange the formula to solve for \( b \):

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

Now, we can substitute the values of \( A \) and \( h \):

\[
b = \frac{2 \times 18}{6}
\]
\[
b = \frac{36}{6}
\]
\[
b = 6 \text{ cm}
\]

Thus, the base of the triangle is \( 6 \) centimeters.

The correct answer is **6 Centimeters**.