SOLUTION: What is the length of line AE if line BD is parallel to line AE and line BD is a midsegment of triangle ACE? Triangle image diagram: imgur.com/9hbGd3L.png

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Question 1118290: What is the length of line AE if line BD is parallel to line AE and line BD is a midsegment of triangle ACE?
Triangle image diagram: imgur.com/9hbGd3L.png
Answer by Theo(13342) About Me  (Show Source):
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What is the length of line AE if line BD is parallel to line AE and line BD is a midsegment of triangle ACE?
Triangle image diagram: imgur.com/9hbGd3L.png

AE is twice the length of BD by the triangle midsegment theorem.

https://www.varsitytutors.com/hotmath/hotmath_help/topics/triangle-midsegment-theorem

the length of BD is equal to sqrt((x2-x1)^2 + (y2-y1)^2).

that makes it equal to sqrt(2-(-1.5))^2 + (3.5-3.5)^2). which makes it equal to sqrt(3.5^2) which makes it equal to 3.5.

AE, being twice the length of BD, is therefore equal to 7.