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DE is a Mid-segment of triangle ABC. How long is DE?

DE is a Mid-segment of triangle ABC. How long is DE?-example-1
User Crisboot
by
6.9k points

1 Answer

5 votes

Answer:

DE = 14

Explanation:

Since, DE is a Mid-segment of triangle ABC.

Therefore,

DE = 1/2 * AC

2 DE = AC

2(5x - 1) = 3x + 19

10x - 2 = 3x + 19

10x - 3x = 19 +2

7x = 21

x = 21/7

x = 3

DE = 5x - 1

DE = 5*3 - 1

DE = 15 - 1

DE = 14

User Youngtackpark
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5.8k points