Respuesta :
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
[tex]x+3+2x+4+3x-1\\=6x+6[/tex]
If it were scaled down by half then new sides will be
[tex]\frac{x+3}{2} , \frac{2x+4}{2} , \frac{x-1}{2}[/tex]
So, the perimeter of the new triangle will be
[tex]\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[/tex]
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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