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)
cm2
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To calculate the area of a triangle, you can use the formula:
\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the base of the triangle is given as 9 centimeters and the height is given as 7 centimeters.
Substituting in the values:
\[ \text{Area} = \frac{1}{2} \times 9 \times 7 \]
Calculating this:
\[ \text{Area} = \frac{1}{2} \times 63 = 31.5 \]
Thus, the area of the triangle is:
\[ \boxed{31.5} \text{ cm}^2 \]
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