In triangle ABC, points D and E are on sides AB and BC, respectively, such that DE || AC and AD: DB = 3:5. B
D
E
A
С
If DB = 6.3 and AC = 9.4, what is the length of DE, to the nearest tenth?

the image of (6, 9) under a dilation is (4, 6). the scale factor is

b. 2/3

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Use pythagorean’s theorem and find the missing side lengths of the two smaller triangles and add them together
13^2 - 12^2 = 5
15^2 - 12^2 = 9
5+9 = 14
14 is the length of each side of the square
14^2 + 14^2 = 19.8
19.8 is the diagonal length of the inside if the square