Math Doubts

Perimeter of a Triangle

perimeter of a triangle

The length of boundary of a triangle is defined perimeter of a triangle.

The boundary of a triangle is the perimeter of a triangle but its boundary is formed by three line segments. Therefore, the boundary of a triangle is equal to the total of lengths of all three sides.

Example

Consider triangle

XYZ

. It is having sides

XY

,

YZ

and

ZX

, and their lengths are

XY

,

YZ

and

ZX

respectively. Perimeter of a triangle is the total of lengths of all three sides. So, it can be expressed in a mathematical form.

Formula

Perimeter of Triangle = Length of First Side + Length of Second Side + Length of Third Side

According to

ΔXYZ

,

  1. Length of the side
    XY

    is

    XY = 10 cm
  2. Length of the side
    YZ

    is

    YZ = 12 cm
  3. Length of the side
    ZX

    is

    ZX = 6 cm

Perimeter of the triangle

XYZ

can be calculated now by substituting the lengths of the sides in the above formula.

Perimeter of

ΔXYZ =

Length of the side

XY +

Length of the side

YZ +

Length of the side

ZX

⇒   

Perimeter of

ΔXYZ = XY + YZ + ZX

⇒   

Perimeter of

ΔXYZ = 10 + 12 + 6

⇒   

Perimeter of

ΔXYZ = 28

Therefore, the perimeter of the triangle

XYZ

is

28 cm

. Use this method to calculate the perimeter of any triangle in mathematical system.



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