Use the image to answer the question.

Question

An illustration shows a right triangle with the height labeled as 2.5 centimeters and the base labeled as 15 centimeters.

What is the area of the triangle?

(1 point)
Responses

37.5 square centimeters
37.5 square centimeters

18.75 square centimeters
18.75 square centimeters

17.5 square centimeters
17.5 square centimeters

35 square centimeters

Answer 1

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

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

For the given triangle:

• Base = 15 cm
• Height = 2.5 cm

Plugging in the values:

\[ A = \frac{1}{2} \times 15 \times 2.5 \] \[ A = \frac{1}{2} \times 37.5 \] \[ A = 18.75 \text{ square centimeters} \]

Thus, the area of the triangle is 18.75 square centimeters.