If the area of triangle ABC is 60 square units and the base AC is 12 units, what

Practice Questions

Q1
If the area of triangle ABC is 60 square units and the base AC is 12 units, what is the height from point B to line AC? (2019)
  1. 5 units
  2. 10 units
  3. 15 units
  4. 20 units

Questions & Step-by-Step Solutions

If the area of triangle ABC is 60 square units and the base AC is 12 units, what is the height from point B to line AC? (2019)
  • 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 60 square units.
  • Step 3: Identify the base AC, which is given as 12 units.
  • Step 4: Substitute the known values into the area formula: 60 = 1/2 * 12 * height.
  • Step 5: Simplify the right side of the equation: 1/2 * 12 equals 6, so the equation becomes 60 = 6 * height.
  • Step 6: To find the height, divide both sides of the equation by 6: height = 60 / 6.
  • Step 7: Calculate the height: height = 10 units.
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