The area of triangle ABC is 30 square units, and the base BC is 10 units. What i

Practice Questions

Q1
The area of triangle ABC is 30 square units, and the base BC is 10 units. What is the height from A to BC?
  1. 3 units
  2. 6 units
  3. 5 units
  4. 4 units

Questions & Step-by-Step Solutions

The area of triangle ABC is 30 square units, and the base BC is 10 units. What is the height from A to BC?
  • Step 1: Understand the formula for the area of a triangle, which is Area = 1/2 * base * height.
  • Step 2: Identify the given values: the area of triangle ABC is 30 square units, and the base BC is 10 units.
  • Step 3: Substitute the known values into the area formula: 30 = 1/2 * 10 * height.
  • Step 4: Simplify the equation: 30 = 5 * height (since 1/2 * 10 = 5).
  • Step 5: To find the height, divide both sides of the equation by 5: height = 30 / 5.
  • Step 6: Calculate the height: height = 6 units.
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