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In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-per

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Question: In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-perimeter? (2020)

Options:

  1. 24 cm
  2. 28 cm
  3. 30 cm
  4. 32 cm

Correct Answer: 24 cm

Exam Year: 2020

Solution: 

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

In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-per

Practice Questions

Q1
In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-perimeter? (2020)
  1. 24 cm
  2. 28 cm
  3. 30 cm
  4. 32 cm

Questions & Step-by-Step Solutions

In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-perimeter? (2020)
  • Step 1: Identify the lengths of the sides of triangle XYZ. They are XY = 12 cm, YZ = 16 cm, and XZ = 20 cm.
  • Step 2: Add the lengths of all three sides together. Calculate 12 + 16 + 20.
  • Step 3: The sum of the sides is 48 cm.
  • Step 4: To find the semi-perimeter, divide the total sum by 2. Calculate 48 / 2.
  • Step 5: The semi-perimeter is 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 triangle's sides divided by two.
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