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

1 answer

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