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If the area of a triangle is 60 square meters and the base is 12 meters, what is

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Question: If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle in meters?

Options:

  1. 8
  2. 10
  3. 12
  4. 15

Correct Answer: 10

Solution:

Area = (1/2) × base × height; 60 = (1/2) × 12 × height; height = (60 × 2) / 12 = 10 meters.

If the area of a triangle is 60 square meters and the base is 12 meters, what is

Practice Questions

Q1
If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle in meters?
  1. 8
  2. 10
  3. 12
  4. 15

Questions & Step-by-Step Solutions

If the area of a triangle is 60 square meters and the base is 12 meters, what is the height of the triangle in meters?
  • 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 60 square meters and the base is 12 meters: 60 = (1/2) × 12 × height.
  • Step 3: Simplify the equation. First, calculate (1/2) × 12, which equals 6. So now we have: 60 = 6 × height.
  • Step 4: To find the height, divide both sides of the equation by 6: height = 60 / 6.
  • Step 5: Calculate 60 divided by 6, which equals 10. So, the height of the triangle is 10 meters.
  • Area of a Triangle – The area of a triangle can be calculated using the formula: Area = (1/2) × base × height.
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