Final answer:
In trigonometry, there is a special relationship between the trigonometric ratios of two similar triangles after a dilation. To find the measures of segments CB and AB in triangle ABC after the dilation, we need to know the scale factor of the dilation.
Step-by-step explanation:
In trigonometry, there is a special relationship between the trigonometric ratios of two similar triangles after a dilation. When a triangle is dilated, all the ratios of corresponding sides remain the same. So, if we have two similar triangles XYZ and ABC, and one is a dilation of the other, the trigonometric ratios of corresponding sides in both triangles will be equal.
To find the measures of segments CB and AB in triangle ABC after the dilation, we need to know the scale factor of the dilation. The scale factor is the ratio of any corresponding side lengths in the two triangles. Once we know the scale factor, we can multiply the length of the corresponding side in the original triangle by the scale factor to find the length of the corresponding side in the dilated triangle.