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If the area of triangle ABC is 30 square units and the base BC is 10 units, what
If the area of triangle ABC is 30 square units and the base BC is 10 units, what is the height from A to BC?
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Q1
If the area of triangle ABC is 30 square units and the base BC is 10 units, what is the height from A to BC?
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Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Height = 6.
Questions & Step-by-step Solutions
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Q
Q: If the area of triangle ABC is 30 square units and the base BC is 10 units, what is the height from A to BC?
Solution:
Area = 1/2 * base * height. Thus, 30 = 1/2 * 10 * height. Height = 6.
Steps: 7
Show Steps
Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Identify the area of triangle ABC, which is given as 30 square units.
Step 3: Identify the base BC, which is given as 10 units.
Step 4: Substitute the known values into the area formula: 30 = 1/2 * 10 * height.
Step 5: Simplify the right side of the equation: 1/2 * 10 = 5, so the equation becomes 30 = 5 * height.
Step 6: To find the height, divide both sides of the equation by 5: height = 30 / 5.
Step 7: Calculate the height: height = 6.
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