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# Perimeter of a Triangle | Perimeter of a Triangle Components

right here discover the perimeter of a triangle. We all know perimeter of a triangle is the
whole size (distance) of the boundary of a triangle.

Perimeter of a triangle is the sum of lengths of its three
sides.

For instance, perimeter of the ∆PQR = PQ + QR + RP

The perimeter of a triangle ABC

= AB + BC + CA

= 2 cm + 4 cm + 3 cm,

(add the size of every aspect of the triangle).

= 9 cm

Perimeter of the triangle = Sum of the perimeters.

● A triangle has 3 sides

The perimeter of the triangle XYZ

= 3 cm + 5 cm + 4 cm

= 12 cm

The perimeter of the triangle = Sum of the lengths of three sides.

Allow us to contemplate a number of the examples on perimeter of a triangle:

1. Discover the perimeter of
a triangle having sides 3 cm, 8 cm and 6 cm.

Perimeter of a triangle

= Sum of all of the three sides

= AB + BC + AC

= 3 cm + 8 cm + 6 cm

= 17 cm

2. Discover the perimeter of the triangle PQR whose sides are 4
cm, 6 cm and eight cm.

Within the determine PQ = 4 cm, PR = 6 cm and QR = 8 cm

The perimeter of the rectangle PQR

= 4 cm + 6 cm + 8 cm

= 18 cm

3. Discover the perimeter of an equilateral triangle whose one
aspect is 5 cm.

A triangle during which all the perimeters are equal known as an
equilateral triangle.

Perimeter of the equilateral triangle = 3 × aspect

= 3 × 5 cm

= 15 cm

Thus, perimeter = 15 cm.

4. Discover the perimeter of a triangle whose size of three sides are 8 cm, 11 cm, 13 cm.

To seek out the perimeter of the triangle, we add all the perimeters collectively.

Perimeter of a triangle

= Sum of all of the three sides

= 8 cm + 11 cm + 13 cm

= 32 cm

5. Discover the perimeter of a triangle whose sides are 5 cm, 2 cm
and three cm.

Perimeter of the triangle is the sum of the lengths of its
sides.

Perimeter = 5 cm + 2 cm + 3 cm

Thus, perimeter = 10 cm.

6. Discover the perimeter of every triangle.

(i) Perimeter of ∆XYZ = 5.5 cm + 6 cm + 6 cm = 17.5 cm

(ii) Perimeter of ∆ABC = 8 cm + 6 cm + 6 cm = 20 cm

(iii) Perimeter of ∆PQR = 4 cm + 3 cm + 5 cm = 12 cm

7. Discover the perimeter of the given shapes.

(i) Perimeter = PQ + QR + RS + ST + TU + UV + VP

= 2.5 cm + 3 cm + 2 cm + 3 cm + 2.5 cm + 4 cm + 4
cm

=
21 cm

(ii) Perimeter = PQ + QR + RS + SP

= 4 cm + 4 cm + 4 cm + 4 cm

= 16 cm

(iii) Perimeter = PQ + QR + RS + ST + TP

= 7 cm + 6 cm + 4 cm + 3 cm + 5 cm

= 25 cm

Phrase Issues on Perimeter of a Triangle:

1. Two sides of a
triangle are 3 cm and 4 cm. Discover the third aspect of the triangle if its
perimeter is 11 cm.

First aspect of the triangle                            = 3 cm

Second aspect of the triangle                        = 4 cm

Perimeter of the triangle                           = Sum of the lengths of sides

i.e. sum of the lengths of the perimeters            = 11 cm

3 cm + 4 cm + size of the third aspect      = 11 cm

7 cm + size of the third aspect                 = 11 cm

However we all know that 7 cm + 4 cm                = 11 cm (Notice: 11 –
7 = 4
)

Due to this fact, size of the third aspect            = 4 cm

Questions and Solutions on Perimeter of a Triangle:

1. A triangle has a fringe of fifty cm. If its two sides
are of lengths 15 cm and 19 cm, what’s the size of the third aspect?

● Associated Ideas

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