Question

The area of a triangle is 28 square cm. The height of the triangle is 4 cm. What is the base of the triangle?(1 point)
Responses

12cm
12cm

14cm
14cm

16cm
16cm

18cm

Answer 1

The area \( A \) of a triangle can be calculated using the formula:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]

We know the area \( A \) is 28 cm² and the height is 4 cm. We can rearrange the formula to solve for the base:

\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
\[
28 = \frac{1}{2} \times \text{base} \times 4
\]

First, simplify the right side:

\[
28 = 2 \times \text{base}
\]

Now, divide both sides by 2:

\[
\text{base} = \frac{28}{2} = 14 \text{ cm}
\]

So, the base of the triangle is **14 cm**.

**Response: 14cm**