Question

determine the area of the triangle.
the area is
(type an integer or a decimal.)

Explanation:

Step1: Recall triangle area formula

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

Step2: Identify base and height

From the diagram, the base of the triangle is \( 9 \, \text{cm} \) and the height is \( 2 \, \text{cm} \).

Step3: Substitute values into formula

Substitute \( base = 9 \) and \( height = 2 \) into the formula: \( A = \frac{1}{2} \times 9 \times 2 \).

Step4: Calculate the area

First, multiply \( 9 \times 2 = 18 \), then multiply by \( \frac{1}{2} \): \( \frac{1}{2} \times 18 = 9 \).

Answer:

\( 9 \) square centimeters (or \( 9 \, \text{cm}^2 \))