hi my answers ten thanks ms.sue and other touters

9
An equilateral triangle has a perimeter of
48 centimeters. If the triangle is dilated by
a factor of 0.75, what is the length of each
side of the new triangle?

3

10*****

12

16

How did you get that answer?

To find the length of each side of the new triangle, we need to first find the length of each side of the original equilateral triangle. We know that the perimeter of the original triangle is 48 centimeters.

Since an equilateral triangle has three equal sides, we can divide the perimeter by 3 to find the length of each side. Therefore, the length of each side of the original triangle is 48 cm / 3 = 16 cm.

Now, to find the length of each side of the new triangle, we need to dilate the original triangle by a factor of 0.75. Dilating a shape means changing its size while maintaining the same shape by multiplying the length of each side by the scale factor.

To find the length of each side of the new triangle, we multiply the length of each side of the original triangle by the dilation factor. Therefore, the length of each side of the new triangle is 0.75 * 16 cm = 12 cm.

So, the length of each side of the new triangle is 12 cm.