Perimeter of a Triangle
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
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● 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
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