## About "Perimeter of a triangle"

Perimeter of a triangle :

Here we are going to see example problems to find the perimeter of triangle.

Formula:

Let a, b and c is the sides of the triangle. Then the perimeter

P = a + b + c

Now let us see some example problems to understand this concept much better.

## Perimeter of a triangle - Examples

Example 1:

The sides of a triangle are 12 cm, 6 cm and 8 cm.find the perimeter of the triangle.

Solution :

Let a, b and c are the three sides of the triangle

a = 12 cm, b = 6 cm and c = 8 cm

Perimeter P = 12 + 6 + 8

=  26 cm

Hence, the perimeter of a required triangle is 26 cm

Example 2 :

The sides of a triangle are 5 cm; 7 cm and 9 cm find the perimeter of the triangle.

Solution :

Let a, b and c are the three sides of the triangle

a = 5 cm, b = 7 cm and c = 9 cm

Perimeter P = 5 + 7 + 9

= 21 cm

Therefore the perimeter of a required triangle = 21 cm

Example 3 :

The sides of a triangle are in the ratio 2x, 3x and 5x. If the perimeter of the triangle is 100 then find the measurement of three sides.

Solution :

Let a, b and c be the three sides of the triangle

a = 2x, b = 3x  and c = 5x

Perimeter P = 2x + 3x + 5x  =  10 x

Perimeter of triangle = 100 cm

10 x =100

x = 100/10

x = 10 cm

Therefore a = 2x = 2(10) = 20   cm

b = 3x = 3(10) = 30 cm

c = 5x = 5(10) = 50 cm ## Related pages

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