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**Perimeter of Triangle**

Perimeter is the total length of the boundary of a closed plane figure. The
boundary can be circular, triangular, rectangular and so on. In other words,
the sum of the lengths of sides of any closed plane figure is the perimeter of the
figure.

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A triangle is a closed plane figure bounded by 3 sides. So the
sum of the lengths of 3 sides of a triangle is called the

**perimeter of triangle**.
In Î”PQR, PQ = 5 cm, QR = 6 cm and PR = 7 cm. Find the
perimeter of the Î”PQR.

Here,

The sum of the sides of Î”PQR = PQ + QR + PR = 5 cm + 6 cm +
7 cm = 18 cm.

The perimeter of Î”PQR is 18 cm.

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**Perimeter of a Scalene Triangle**

If non of the sides of a trianlge are equal it is called a
scalene triangle. In such condition it is customary to write three sides of the
trianlge as a, b and c. So the formula for perimeter of a scalene triangle is
a+b+c.

i.e.

*P = a + b + c*###
**Perimeter of an Isosceles Triangle**

If two sides of a triangle are equal it called an isosceles
triangle. In such condition two equal sides are represented by a and the third
side is termed as base and represented by b. So the formula for perimeter of an
isosceles triangle is a+a+b.

i.e.

*P = a + a + b*###
**Perimeter of an Equilateral Triangle**

If all 3 sides are equal of a triangle it is called an equilateral
triangle. In such triangles we represent each equal side by a. So the formula
for perimeter is a+a+a or 3a.

i.e.

*P = 3a*###
**Perimeter of a Right Angled Triangle**

If one angle of a triangle is right angle then it called a
right angled triangle. Three sides of a right angled triangle are termed as
perpendicular (p), base (b) and hypotenuse (h). So the perimeter of a right
angled triangle is p+b+h.

i.e.

*P = p + b + h*###
*Workout Examples*

*Workout Examples*

*Example 1: Find the perimeter of the the triangle given below:*

*Solution:*

*From the figure,*

*a = 4 cm*

*b = 7 cm*

*c = 6 cm*

*we know,*

*Perimeter = a + b + c*

*= 4cm + 7cm + 6cm*

*= 17 cm*

*Example 2: Find the perimeter of the given triangle.*

*Solution:*

*Given figure is an equilateral triangle where*

*a = 8 cm*

*we know,*

*Perimeter = 3a*

*= 3 × 8 cm*

*= 24 cm*

*
*

*Example 3: Find the perimeter of the given triangle.*

*Solution:*

*Given figure is a right angled triangle where*

*p = 4 cm*

*h = 5 cm*

*we know,*

*Perimeter = p + b + h*

*= 4cm + 3cm + 5cm*

*= 12 cm*

*You can comment your problems/questions regarding perimeter of triangle here.*

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