Question

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Area of Rectangles & Triangles Practice
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Question
Use the image to answer the question.

An illustration shows an obtuse triangle with a base of 9 centimeters. The perpendicular height on the right is marked by a dashed line drawn from the top vertex to an extended dashed line from the base labeled as 7 centimeters. A right angle symbol is shown where the base and height meet at the dashed lines.

What is the area in square centimeters of the triangle pictured here? Express your answer as a decimal rounded to the nearest tenth. (1 point)

Answer 1

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

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

From the question, the base of the triangle is 9 centimeters, and the height is 7 centimeters. Substituting these values into the formula:

\[
A = \frac{1}{2} \times 9 \times 7
\]

Calculating the multiplication:

\[
A = \frac{1}{2} \times 63 = 31.5
\]

Thus, the area of the triangle is \( 31.5 \) square centimeters.

The final answer is:

\[
\boxed{31.5}
\]