Question

Triangle ABC is dilated by a scale factor of 2.5, resulting in triangle XYZ. If the length of side BC in triangle ABC is 5.59, what is the length of the corresponding side in triangle XYZ?

a) 1.024
b) 13.975
c) 2.23
d) 0.896

Answer 1

The corresponding side length in triangle XYZ after being dilated by a scale factor of 2.5 is 13.975.

Step-by-step explanation:

The length of side BC in triangle ABC after dilation by a scale factor of 2.5 to form triangle XYZ can be calculated by multiplying the original length by the scale factor. Since the length of BC is given as 5.59, the corresponding side length in triangle XYZ is 5.59 × 2.5.

To calculate, simply do the multiplication:

5.59 × 2.5 = 13.975.

Therefore, the length of the corresponding side in triangle XYZ is 13.975.