We will discuss here how to find the perimeter of a triangle. We know perimeter of a triangle is the total length (distance) of the boundary of a triangle. Perimeter of a triangle is the sum of lengths of its three sides. For example, perimeter of the ∆PQR = PQ + QR + RP The perimeter of a triangle ABC = AB + BC + CA = 2 cm + 4 cm + 3 cm, (add the length of each side of the triangle). = 9 cm Perimeter of the triangle = Sum of the sides. Let us consider some of the examples on perimeter of a triangle: 1. Find the perimeter of a triangle having sides 3 cm, 8 cm and 6 cm. Solution: Perimeter of a triangle = Sum of all the three sides = AB + BC + AC = 3 cm + 8 cm + 6 cm = 17 cm 2. Find the perimeter of the triangle PQR whose sides are 4 cm, 6 cm and 8 cm. Solution: In the figure PQ = 4 cm, PR = 6 cm and QR = 8 cm The perimeter of the rectangle PQR = 4 cm + 6 cm + 8 cm = 18 cm 3. Find the perimeter of an equilateral triangle whose one side is 5 cm. Solution: A triangle in which all the sides are equal is called an equilateral triangle. Perimeter of the equilateral triangle = 3 × side = 3 × 5 cm = 15 cm Thus, perimeter = 15 cm. 4. Find the perimeter of a triangle whose length of three sides are 8 cm, 11 cm, 13 cm. Solution: To find the perimeter of the triangle, we add all the sides together. Perimeter of a triangle = Sum of all the three sides = 8 cm + 11 cm + 13 cm = 32 cm 5. Find the perimeter of a triangle whose sides are 5 cm, 2 cm and 3 cm. Solution: Perimeter of the triangle is the sum of the lengths of its sides. Perimeter = 5 cm + 2 cm + 3 cm Thus, perimeter = 10 cm. 6. Find the perimeter of each triangle. Solution: (i) Perimeter of ∆XYZ = 5.5 cm + 6 cm + 6 cm = 17.5 cm (ii) Perimeter of ∆ABC = 8 cm + 6 cm + 6 cm = 20 cm (iii) Perimeter of ∆PQR = 4 cm + 3 cm + 5 cm = 12 cm 7. Find the perimeter of the given shapes. Solution: (i) Perimeter = PQ + QR + RS + ST + TU + UV + VP = 2.5 cm + 3 cm + 2 cm + 3 cm + 2.5 cm + 4 cm + 4 cm = 21 cm (ii) Perimeter = PQ + QR + RS + SP = 4 cm + 4 cm + 4 cm + 4 cm = 16 cm (iii) Perimeter = PQ + QR + RS + ST + TP = 7 cm + 6 cm + 4 cm + 3 cm + 5 cm = 25 cm
● Related Concepts ● Units for Measuring Length ● Measuring Instruments ● To Measure the Length of a Line-segment ● Perimeter of a Figure ● Perimeter of a Triangle ● Perimeter of a Rectangle ● Perimeter of a Square ● Unit of Mass or Weight ● Examples on Unit of Mass or Weight ● Units for The Measurement of Capacity ● Examples on Measurement of Capacity ● Measurement of Time ● Read a Watch or a Clock ● Antemeridian (a.m.) or Postmeridian (p.m.) ● What Time it is? ● Time in Hours and Minutes ● 24 Hour Clock ● Units of Time ● Examples Units of Time ● Time Duration ● Calendar ● Reading and Interpreting a Calendar ● Calendar Guides us to Know 4th Grade Math Activities From Perimeter of a Triangle to HOME PAGE
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