Question

The sides of triangle can be represented by x+3, 2x+4 and 3x-1. what would be the perimeter of it were scaled down by half

Answer 1

The perimeter will also be scaled down by half if the original triangle if it were scaled down by half.

What is the perimeter of a triangle?

The total length of a triangle's boundary is referred to as its perimeter. It is the total of the triangle's three sides. A triangle's perimeter will be equal to a+b+c if its three sides are a, b, and c.

The sides of the original triangle are:

x+3, 2x+4, 3x-1

The perimeter of the triangle will be

$x+3+2x+4+3x-1\\=6x+6$

If it were scaled down by half then new sides will be

$\frac{x+3}{2} , \frac{2x+4}{2} , \frac{x-1}{2}$

So, the perimeter of the new triangle will be

$\frac{x+3}{2} + \frac{2x+4}{2} + \frac{3x-1}{2}\\=\frac{x+3+2x+4+3x-1}{2} \\=\frac{6x+6}{2}\\ =3x+3$

This is half of the original triangle's perimeter. Therefore, the perimeter of the new triangle is half of the perimeter of the original triangle.

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