Question

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?

30 units

20 units

15 units

7.5 units

Answer 1

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5.

Let take some example

Let the sides of triangle are 10, 6 and 8 . If it is dilated with with respect to origin by a scale factor of 0.5 then we multiply the sides by scale factor. so the sides becomes 5, 3 and 4. The perimeter 10+6+8 = 24 becomes 5+3+4 =12 after dilation by a scale factor 0.5.

The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5. then we multiply the perimeter by scale factor 0.5.

So 30 * 0.5 = 15 units.

15 units is the perimeter of the resulting triangle.

Answer 2

15 units is the perimeter of the resulting triangle among the choices given in the question. It can be found by simply getting the half of the diameter of the actual triangle. The correct option among all the options that are given in the question is the third option or the penultimate option. I hope the answer helps you.