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If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the heigh
If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?
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Practice Questions
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Q1
If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?
5 cm
10 cm
12 cm
15 cm
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Area = (1/2) * base * height. Therefore, 60 = (1/2) * 12 * height, height = 10 cm.
Questions & Step-by-step Solutions
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Q
Q: If the area of triangle ABC is 60 cm² and the base BC = 12 cm, what is the height from A to BC?
Solution:
Area = (1/2) * base * height. Therefore, 60 = (1/2) * 12 * height, height = 10 cm.
Steps: 6
Show Steps
Step 1: Write down the formula for the area of a triangle: Area = (1/2) * base * height.
Step 2: Identify the values given in the question: Area = 60 cm² and base = 12 cm.
Step 3: Substitute the known values into the formula: 60 = (1/2) * 12 * height.
Step 4: Simplify the equation: (1/2) * 12 = 6, so the equation becomes 60 = 6 * height.
Step 5: To find the height, divide both sides of the equation by 6: height = 60 / 6.
Step 6: Calculate the height: height = 10 cm.
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