Answer:
12
Step-by-step explanation:
Assuming the diagram is thesame as the one attached,
From the diagram,
Triangle ABC is similar to Triangle DEC
ΔABC is similar to ΔDEC
Note: In similar triangle, ratio of corresponding sides are equal
Therefore,
line(AB) /line(DE) = line(BC)/line(EC).................... Equation 1
Given: AB = 20, BC = 15, EC = BC-BE = (15-6) = 9
Substitute these values into equation 1 and solve for Line DE
20/DE = 15/9
DE = (20×9)/15
DE = 12.
Hence line DE = 12.
