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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