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In triangle DEF, if DE = 12 cm, EF = 16 cm, and DF = 20 cm, what is the semi-per

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Question: In triangle DEF, if DE = 12 cm, EF = 16 cm, and DF = 20 cm, what is the semi-perimeter? (2021)

Options:

  1. 24 cm
  2. 28 cm
  3. 30 cm
  4. 20 cm

Correct Answer: 28 cm

Exam Year: 2021

Solution: 

Semi-perimeter s = (12 + 16 + 20) / 2 = 48 / 2 = 24 cm.

In triangle DEF, if DE = 12 cm, EF = 16 cm, and DF = 20 cm, what is the semi-per

Practice Questions

Q1
In triangle DEF, if DE = 12 cm, EF = 16 cm, and DF = 20 cm, what is the semi-perimeter? (2021)
  1. 24 cm
  2. 28 cm
  3. 30 cm
  4. 20 cm

Questions & Step-by-Step Solutions

In triangle DEF, if DE = 12 cm, EF = 16 cm, and DF = 20 cm, what is the semi-perimeter? (2021)
  • Step 1: Identify the lengths of the sides of triangle DEF. They are DE = 12 cm, EF = 16 cm, and DF = 20 cm.
  • Step 2: Add the lengths of all three sides together: 12 cm + 16 cm + 20 cm.
  • Step 3: Calculate the total: 12 + 16 = 28, then 28 + 20 = 48 cm.
  • Step 4: To find the semi-perimeter, divide the total by 2: 48 cm / 2.
  • Step 5: Calculate the result: 48 / 2 = 24 cm.
  • Triangle Properties – Understanding the properties of triangles, including the calculation of the semi-perimeter.
  • Semi-perimeter Calculation – The formula for semi-perimeter is the sum of the lengths of all sides divided by 2.
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