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If the area of a triangle is 30 square units and the base is 10 units, what is t

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Question: If the area of a triangle is 30 square units and the base is 10 units, what is the height?

Options:

  1. 3
  2. 5
  3. 6
  4. 10

Correct Answer: 5

Solution: 

Area = 1/2 * base * height => height = 30/(1/2 * 10) = 6.

If the area of a triangle is 30 square units and the base is 10 units, what is t

Practice Questions

Q1
If the area of a triangle is 30 square units and the base is 10 units, what is the height?
  1. 3
  2. 5
  3. 6
  4. 10

Questions & Step-by-Step Solutions

If the area of a triangle is 30 square units and the base is 10 units, what is the height?
  • 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 30 square units and the base is 10 units: 30 = 1/2 * 10 * height.
  • Step 3: Simplify the equation. Calculate 1/2 * 10, which equals 5: 30 = 5 * height.
  • Step 4: To find the height, divide both sides of the equation by 5: height = 30 / 5.
  • Step 5: Calculate the result: height = 6.
  • Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
  • Rearranging Formulas – Understanding how to rearrange the area formula to solve for height.
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