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alexgriva [62]
4 years ago
11

Given that BE=6, CE=6,and FE measures 5 morethan DE, find the lengthof DE.​

Mathematics
1 answer:
katen-ka-za [31]4 years ago
4 0

Answer:

DE = 4 units.

Step-by-step explanation:

By the chord intersection theorem:

BE * CE = DE * FE

But FE = DE + 5 so:

BE * CE = DE * (DE + 5)

6 * 6 = DE^2 + 5DE

DE^2 + 5DE  - 36 = 0

(DE + 9)(DE - 4) = 0

So DE = -9 or 4

It can't be negative so DE = 4.

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