Perimeter of Triangle
A three sided polygon which has three vertices and three angles is called a triangle. Equilateral triangle, Isosceles triangle and right angled triangle are the three different types of triangles. ΔABC represents a triangle with vertices or corners A, B, and C and side lengths a, b and c.
How to calculate the perimeter of a triangle?
A Perimeter of the triangle is the total distance along the outside of the triangle.Steps to calculate the Perimeter of a triangle:
- Note the lengths of all the sides of the triangle
- Add all the three lengths i.e, a+b+c
- Perimeter of a Triangle is given by a+b+c.
The perimeter of an equilateral triangle is 3 times the length of each side as all the three sides are equal.
Perimeter of a Triangle problemsProblem 1:
A triangle sides measure 6 centimeters, 8 centimeters and 7 centimeters. What is its perimeter?Solution:
Length of each side of triangle,
a = 6 cm
b = 8 cm
c = 7 cm
Perimeter of the Triangle = a+b+c=6+8+7= 21 cm.Problem 2:
Find the perimeter of an equilateral triangle with each side measuring 3 cm?Solution:
Length of each side of an equilateral triangle, a = b = c = 3 cm
Perimeter of an equilateral triangle = 3*side length =3(3)=9
Thus the perimeter of given equilateral triangle is 9 cm.Problem 3:
In a triangle two sides are 4 inches and 6 inches long. Its perimeter is 15 inches. Find the length of the third side.Solution:
Given two sides of triangle, say a = 4 in and b = 6 in.
Let the third side be c inches.
The Perimeter of the triangle = 15 in. .......(1)
Also by the definition of Perimeter of triangle,
Perimeter of triangle = a+b+c=4+6+c ...........(2)
Equating (1) and (2),
The third side is of length 5 inches.Problem 4:
Christy jogs around a triangular path which is equilateral in a park. If he jogs same distance every day and covers 36 kms in 6 days, what is the length of each side of the path?Solution:
The distance jogged by Christy in 6 days = 36 kms.
The distance jogged by Christy in 1 days = 36/6 = 6 kms.
Perimeter of the equilateral triangle path = The distance covered in a day
3 x length of each side of the path = 6 kms
Length of each side of the path = 6/3 = 2 kms
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