Question

what is the area, in square centimeters, of the shape below? 7.4 cm 9.4 cm

Explanation:

Step1: Identify the formula for the area of a right triangle

The area \( A \) of a right triangle is given by \( A = \frac{1}{2} \times \text{base} \times \text{height} \). Here, the base is \( 9.4 \, \text{cm} \) and the height is \( 7.4 \, \text{cm} \).

Step2: Substitute the values into the formula

Substitute base \( = 9.4 \) and height \( = 7.4 \) into the formula:
\( A = \frac{1}{2} \times 9.4 \times 7.4 \)

Step3: Calculate the product

First, calculate \( 9.4 \times 7.4 \):
\( 9.4 \times 7.4 = 69.56 \)

Step4: Multiply by \( \frac{1}{2} \)

Then, multiply by \( \frac{1}{2} \):
\( A = \frac{1}{2} \times 69.56 = 34.78 \)

Answer:

The area of the right triangle is \( 34.78 \) square centimeters.