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If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (
If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)
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Practice Questions
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If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)
6 cm
8 cm
4 cm
10 cm
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Area = 1/2 * base * height, so 48 = 1/2 * 12 * height, height = 48/(6) = 8 cm.
Questions & Step-by-step Solutions
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Q
Q: If the area of a triangle is 48 cm² and the base is 12 cm, what is the height? (2022)
Solution:
Area = 1/2 * base * height, so 48 = 1/2 * 12 * height, height = 48/(6) = 8 cm.
Steps: 5
Show Steps
Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Substitute the known values into the formula. We know the area is 48 cm² and the base is 12 cm, so we write: 48 = 1/2 * 12 * height.
Step 3: Calculate 1/2 * 12. This equals 6, so now we have: 48 = 6 * height.
Step 4: To find the height, divide both sides of the equation by 6. This gives us: height = 48 / 6.
Step 5: Calculate 48 divided by 6, which equals 8. So, the height is 8 cm.
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