What is the height of a triangle with an area of 36 cm² and a base of 12 cm?

Practice Questions

Q1
What is the height of a triangle with an area of 36 cm² and a base of 12 cm?
  1. 6 cm
  2. 8 cm
  3. 4 cm
  4. 10 cm

Questions & Step-by-Step Solutions

What is the height of a triangle with an area of 36 cm² and a base of 12 cm?
  • 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 36 cm² and the base is 12 cm, so we write: 36 = 1/2 * 12 * height.
  • Step 3: Calculate 1/2 * 12. This equals 6, so now we have: 36 = 6 * height.
  • Step 4: To find the height, divide both sides of the equation by 6. So, height = 36 / 6.
  • Step 5: Calculate 36 divided by 6, which equals 6. Therefore, the height of the triangle is 6 cm.
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