A triangle has an area of 30 cm² and a base of 10 cm. What is the height?

Practice Questions

Q1
A triangle has an area of 30 cm² and a base of 10 cm. What is the height?
  1. 6 cm
  2. 5 cm
  3. 3 cm
  4. 4 cm

Questions & Step-by-Step Solutions

A triangle has an area of 30 cm² and a base of 10 cm. What is the height?
  • Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
  • Step 2: Identify the values given in the question: Area = 30 cm² and base = 10 cm.
  • Step 3: Rearrange the formula to solve for height: height = (2 * Area) / base.
  • Step 4: Substitute the values into the rearranged formula: height = (2 * 30) / 10.
  • Step 5: Calculate the numerator: 2 * 30 = 60.
  • Step 6: Divide the result by the base: height = 60 / 10.
  • Step 7: Calculate the final result: height = 6 cm.
  • 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 manipulate the area formula to solve for height.
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