Question

What is the height of a triangle which has a base of 8 centimeters and an area of 16 square 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-half centimeters
1 Centimeter
2 Centimeter
4 Centimeter

Answer 1

To find the height of the triangle using the given formula \( h = \frac{2A}{b} \), we will substitute the values for the area \( A \) and the base \( b \).

Given:
- Area \( A = 16 \) square centimeters
- Base \( b = 8 \) centimeters

Now substitute the values into the formula:

\[
h = \frac{2 \times 16}{8}
\]

Calculating the numerator:

\[
2 \times 16 = 32
\]

Now substituting that back:

\[
h = \frac{32}{8} = 4
\]

Thus, the height of the triangle is \( 4 \) centimeters.

The answer is **4 Centimeter**.