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If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (
If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)
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If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)
3 cm
6 cm
9 cm
12 cm
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Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Solving gives height = 6 cm.
Questions & Step-by-step Solutions
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Q
Q: If the area of a triangle is 30 cm² and the base is 10 cm, what is the height? (2020)
Solution:
Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Solving gives height = 6 cm.
Steps: 6
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. Here, the area is 30 cm² and the base is 10 cm.
Step 3: The equation now looks like this: 30 = 1/2 * 10 * height.
Step 4: Calculate 1/2 * 10, which equals 5. Now the equation is: 30 = 5 * height.
Step 5: To find the height, divide both sides of the equation by 5. So, height = 30 / 5.
Step 6: Calculate 30 divided by 5, which equals 6. Therefore, the height is 6 cm.
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