What is the length of DE

Mathematics

1 answer:

Tems11 [23]3 years ago

5 0

nce BE=EC, BC = 2BE. According the principle of proportionality of triangle,BE/DE=BC/AC.

This can be re-written as:

BE/DE= 2BE/ AC

DE= AC * (BE/2BE)

DE= AC * (0.5)

Since we do not know the value of AC from statement (2) therefore not sufficient. However substituting the value of AC from statement (1), we get DE= 14 * 0.5 = 7

Therefore answer is C, both statements together are sufficient but neither alone is sufficient.

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