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In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perim

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Question: In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter of the triangle? (2022)

Options:

  1. 12 cm
  2. 14 cm
  3. 16 cm
  4. 18 cm

Correct Answer: 14 cm

Exam Year: 2022

Solution: 

Semi-perimeter = (PQ + QR + PR) / 2 = (8 + 6 + 10) / 2 = 12 cm.

In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perim

Practice Questions

Q1
In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter of the triangle? (2022)
  1. 12 cm
  2. 14 cm
  3. 16 cm
  4. 18 cm

Questions & Step-by-Step Solutions

In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter of the triangle? (2022)
  • Step 1: Identify the lengths of the sides of triangle PQR. They are PQ = 8 cm, QR = 6 cm, and PR = 10 cm.
  • Step 2: Add the lengths of all three sides together. Calculate 8 + 6 + 10.
  • Step 3: The sum of the sides is 24 cm.
  • Step 4: To find the semi-perimeter, divide the total sum by 2. Calculate 24 / 2.
  • Step 5: The result is 12 cm, which is the semi-perimeter of triangle PQR.
  • Semi-perimeter of a triangle – The semi-perimeter is calculated as half the sum of the lengths of all three sides of the triangle.
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