Question

The perimeter of an isosceles triangle is 16 cm. If one of its side is 4 cm then the other two sides are?

Answer 1

Answer:

There are 3 types of Triangles.

• Equilateral Triangle
• Isosceles Triangle
• Scalene Triangle

Today we are concerned about the 2nd variety, The Isosceles Triangle.

If you want to know about all of them, Scroll to the End

Given,

Perimeter of Isosceles Triangle = 16cm

1 side = 4cm

In an Isosceles Triangle, 2 sides are of equal length. So,

Perimeter - 1 Side = E Side 1 + E Side 2

E Side 1 = E Side 2

So, this can also be written as,

Perimeter - 1 Side = 2 × E Side

(Here, ' E ' refers to Equal)

16cm - 4cm = 2 × E Side

12cm = 2 × E Side

(Transversing of 2 to LHS)

12cm / 2 = E Side

6cm = E Side

So, the length of 1 Equal Side is 6cm

Checking

4cm + 6cm + 6cm = 16cm

10cm + 6cm = 16cm

16cm = 16cm

So, the answer we obtained is correct

Definitions

• Equilateral Triangle - An Equilateral Triangle is the traingle in which 3 sides are of equal length. Even it's interior angles (The angles inside the traingle) are also equal

• Isosceles Triangle - An Isosceles Triangle is the triangle in which 2 sides are of equal length and 1 side which has a different length. Only 2 interior angles are equal.

• Scalene Triangle - A Scalene Triangle is the traingle in which none of the sides nor the interior angles are same / equal.