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in triangle ABC, line ED connects the midpoint of line AB and AC. The length of linE ED is 2x+3 and the length of line BC is 7x-3. Find the
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in triangle ABC, line ED connects the midpoint of line AB and AC. The length of linE ED is 2x+3 and the length of line BC is 7x-3. Find the
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Question 395122: help me solve this show the work too.
in triangle ABC, line ED connects the midpoint of line AB and AC. The length of linE ED is 2x+3 and the length of line BC is 7x-3. Find the value of x ED and BC. Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! By connecting the midpoints of AB and AC, you have forme two similar triangles, ABC and AED. Using the fact that in similar triangles, corresponding sides are proportional, we can write:
Substituting: and we get: But, because D is the midpoint of AC, , so... Cross-multiplying, we get... Solve for x: so... Substitute x=3. and...
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