Question

if each side of a triangle is doubled then how many times the perimeter of a triangle will be increased?​

Answer 1

Question:-

If each side of a triangle is doubled then how many times the perimeter of a triangle will be increased?

Answer:-

The perimeter is increased by 2 times.The Perimeter is doubled.

Explanation:-

Let us assume 1,2 and 3 as three sides of a triangle.

Perimeter of a Triangle = a + b + c

⟹ a + b + c

⟹ 1 + 2 + 3

⟹ 6

⟹ 6cm_____(1)

When it is doubled,

The three sides will be 2,4 and 6.

Perimeter of a Triangle = a + b + c

⟹ a + b + c

⟹ 2 + 4 + 6

⟹ 12

⟹ 12cm_____(2)

Eq(1) is doubled to Eq(2).

The First perimeter is doubled to the Second Perimeter.

Hence,

It is proved.

➝ If each side of a triangle is doubled,then the perimeter is increased by two times.

➝ If each side of a triangle is doubled,then the perimeter of the triangle is also doubled.

Answer 2

QU€STION:

if each side of a triangle is doubled then how many times the perimeter of a triangle will be increased?

ANSW€R:

Let initially Perimeter be

P=a+b+c, where a, b and c are the sides of the triangle

Now, each side is doubled, therefore new perimeter

P'=2a+2b+2c=2(a+b+c)=2P

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