The measure of DE is triangle ABE is similar to ACD is 9units
Similarity theorem of triangle
For triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.
From the given diagram;
AB/AE = AC/AD
20/15 = 32/15 + DE
Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9
Hence the measure of DE is triangle ABE is similar to ACD is 9units
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