Question

how many times area is changed when sides of a triangle are doubled.......

Answer 1

Given:

The sides of a triangle get doubled.

To find:

The change in the area of the triangle.

Solution:

1) Let the sides of the triangle are a, b, and c

2) If the sides get double it will become 2a, 2b, and 2c.

3) The area of the original triangle by the heron's formula:

• s = a+b+c/2

• Area = √s(s-a)(s-b)(s-c)

4) The area of the triangle when sides get double,

s will also become 2s

• Area' = √2s(2s-2a)(2s-2b)(2s-2c)

•        =  √2s×2(s-a)×2(s-b)×2(s-c)

•        = 4√s(s-a)(s-b)(s-c)

Area' = 4. Area

When the sides are doubled then the area of triangle becomes 4 times.

Answer 2

Answer:

Four times when areas is changed when sides of a triangle are doubled

Hope it's helpful to you.......

Thank u