Question

what is the area, in square centimeters, of the shape below? image of a triangle with height 5.2 cm and base 9.7 cm

Explanation:

Step1: Recall the formula for the area of a triangle

The area \( A \) of a triangle is given by the formula \( A=\frac{1}{2}\times\text{base}\times\text{height} \).

Step2: Identify the base and height from the diagram

From the diagram, the base of the triangle is \( 9.7 \, \text{cm} \) and the height is \( 5.2 \, \text{cm} \).

Step3: Substitute the values into the formula

Substitute \( \text{base} = 9.7 \) and \( \text{height}=5.2 \) into the formula:

$$ A=\frac{1}{2}\times9.7\times5.2 $$

Step4: Perform the calculation

First, multiply \( 9.7 \) and \( 5.2 \):
\( 9.7\times5.2 = 50.44 \)
Then, multiply the result by \( \frac{1}{2} \):
\( A=\frac{1}{2}\times50.44 = 25.22 \)

Answer:

The area of the triangle is \( 25.22 \) square centimeters.