Question

If the sides of an equilateral triangle are natural numbers, then find the perimeter of the triangle

Answer 1

Quest

If the sides of an equilateral triangle are natural numbers, then find the perimeter of the triangle.

soln :

it is said that the sides of equilateral triangle are natural number , then the perimeter will also be natural number .

As we are not given with any value , we will take the sides of triangle as any random natural number

let's say

AB = 7units

BC = 7 units

1Ac = 7units

Then perimeter will be = AB + BC + AC

Then perimeter will be 7 + 7 + 7units = 21units.

hence we got 21 units as perimeter which is a natural number .

Answer 2

Answer:

natural number

Step-by-step explanation:

take : Length = 2 and Breadth = 2 (where 2 is a natural number)

Perimeter = 3a

a = length * breadth

a = 2 * 2 = 4 (a=4)

Now;

Perimeter = 3a

Perimeter = 3*4

Perimeter = 12 (where 12 is also a natural number)

Therefore , the perimeter of a equilateral triangle will also be a natural number