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How do I do this? 50 points, please answer

How do I do this? 50 points, please answer-example-1

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Check the picture below.

now, the midsegment of a triangle, besides being half the base, we have to bear in mind that is a "mid" segment, is a segment that lies half-way along the segments it touches.

so for the triangle above, well, the midsegment DE is cutting the segment BC it two equal halves, BE and EC, that means that
\stackrel{x}{BE}~~ = ~~\stackrel{8}{EC}.

How do I do this? 50 points, please answer-example-1
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User Matt Simmons
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