QQuestionMathematics
QuestionMathematics
Find the area of the shaded region.
| | |
| --- | --- |
| A | 90° |
| B | 9 cm |
| C | 9 cm |
12 months agoReport content
Answer
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Step 1:: Recognize that the shaded region is a right triangle.
The point where the two lines meet forms a right angle (90 degrees), which can be seen from the given image. A right triangle has one right angle and two acute angles. In this case, angle A is the right angle, and angles B and C are acute angles.
Step 2:: Identify the area formula for a right triangle.
The area of a right triangle can be calculated using the formula:
Step 3:: Determine the base and height of the triangle.
Since the given image shows that the triangle's hypotenuse is 9 cm, and one of the sides adjacent to the right angle is also 9 cm (side B), we can use these measurements as the base and height of the triangle.
Step 4:: Calculate the area of the triangle.
Using the formula from Step 2 and the base and height measurements from Step 3, we can calculate the area of the triangle: \begin{align*} &= 40.5 \, cm^2 \end{align*}
Step 5:: Determine the area of the shaded region.
Since the shaded region is the entire triangle, the area of the shaded region is equal to the area of the triangle.
Final Answer
The area of the shaded region is 40.5 cm².
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