The area of triangle ABC is 24 cm², and the base BC = 8 cm. What is the height f

Practice Questions

Q1
The area of triangle ABC is 24 cm², and the base BC = 8 cm. What is the height from A to BC?
  1. 6 cm
  2. 8 cm
  3. 4 cm
  4. 3 cm

Questions & Step-by-Step Solutions

The area of triangle ABC is 24 cm², and the base BC = 8 cm. What is the height from A to BC?
  • 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. We know the area is 24 cm² and the base BC is 8 cm.
  • Step 3: The equation now looks like this: 24 = 1/2 * 8 * height.
  • Step 4: Calculate 1/2 * 8, which equals 4. Now the equation is: 24 = 4 * height.
  • Step 5: To find the height, divide both sides of the equation by 4: height = 24 / 4.
  • Step 6: Calculate 24 divided by 4, which equals 6. So, the height from A to BC is 6 cm.
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