△ABC is similar to △XYZ. Find the scale factor, k that takes △ABC to △XYZ.

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SnapAndSolve AI · Accepted Answer

To find the scale factor, k, compare the corresponding sides of the similar triangles △ABC and △XYZ. The sides of △ABC are 9, 12, and 15, and the corresponding sides of △XYZ are 12, 16, and 20.

For side AB to XY: k = 12/9 = 4/3
For side BC to YZ: k = 16/12 = 4/3
For side CA to ZX: k = 20/15 = 4/3

Thus, the scale factor k is 4/3.

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△ABC is similar to △XYZ. Find the scale factor, k that takes △ABC to △XYZ.

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