Is every side of a triangle is doubled then increase in the area of the triangle is?

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Let the sides of triangle are a, b, c

When a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by:

A =

Is every side of a triangle is doubled then increase in the area of the triangle is?
where
Is every side of a triangle is doubled then increase in the area of the triangle is?
[Heron’s Formula]

Is every side of a triangle is doubled then increase in the area of the triangle is?

A’ =

Is every side of a triangle is doubled then increase in the area of the triangle is?
where
Is every side of a triangle is doubled then increase in the area of the triangle is?
[Heron’s Formula]

When each side of triangle is doubled

Is every side of a triangle is doubled then increase in the area of the triangle is?
=
Is every side of a triangle is doubled then increase in the area of the triangle is?
= 2
Is every side of a triangle is doubled then increase in the area of the triangle is?

A’ =

Is every side of a triangle is doubled then increase in the area of the triangle is?

A’ =

Is every side of a triangle is doubled then increase in the area of the triangle is?
= 4
Is every side of a triangle is doubled then increase in the area of the triangle is?
= 4A

Increase in area = 4A-A = 3A

Percentage increase in area =

Is every side of a triangle is doubled then increase in the area of the triangle is?
=
Is every side of a triangle is doubled then increase in the area of the triangle is?
= 300%

Let the sides of triangle are a, b, c 

When a, b and c are the sides of triangle and s is the semi-perimeter, then its area is given by;

When each side of triangle is doubled

Increase in area = 4A-A = 3A 

Percentage increase in area = \(\frac{increase\,area}{original\,area}\) x 100 = \(\frac{3A}{A} \times100\)

= 300\(\text%\)

What happens to area of triangle if sides are doubled?

Hence, if each side of a triangle is doubled, then its area is 4 times the area of the original triangle.

When a number is doubled then the increase in its value will be?

Yes, doubling a number is the same as multiplying in by two or by increasing it by 100%. Here is another way of looking at this: 50 increased by 100% of 50 is 100.

What is the percentage increase in the area of a triangle if its each side is tripled?

Here we have been asked to find the percentage increase in the area of an equilateral triangle if we increase the length of each of its sides by 3 times. First we need to find the length of the sides of new triangle. Hence, the percentage increase in the area of the equilateral triangle is 800%.

When each side of a triangle is doubled then the area becomes four times?

Hence, if the sides of the triangle are doubled then the area becomes 4 times the original area or there is an increase of 300%.