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When Sharon visited Sequoia National Park, she climbed to the top of Moro Rock to see the breathtaking view of the valley floor below. After her hike, she stopped at the gift shop and bought a triangular refrigerator magnet with a picture of Moro Rock on it. The bottom edge of the magnet is 2 1/4 inches long, and its area is 3 square inches. How tall is the magnet?

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mathstudent55

Answer:

2 2/3 in.

Step-by-step explanation:

area of triangle = base × height / 2

3 in.² = 2 1/4 in. × h / 2

Multiply both sides by 2.

6 in.² = 2 1/4 in. × h

Divide both sides by 2 1/4 in.

6/(2 1/4) in. = h

6/(9/4) in. = h

6 × 4/9 in. = h

24/9 in. = h

8/3 in. = h

2 2/3 in. = h

Answer: 2 2/3 in.

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