Posted by james on Sunday, December 11, 2011 at 7:20pm.
B is the midpoint of AC, D is the midpoint of CE, and Bd=14. find AE.
B is the midpoint of AC, D is the midpoint of CE and BD=7. Find AE.

geometry  Steve, Monday, December 12, 2011 at 6:10pm
Just lay out the points on the line
BD contains the right half of BC and the left half of CE
So, what's left is the same length: The left half of AC and the right half of CE
AE = AB + BC + CD + DE
but BD = BC + CD = 14
so,
AE = AB + 14 + DE
However,
AB = BC and CD = DE so AB+DE = BC+CD = 14
AE = 14 + 14 = 28
With that in hand, the 2nd problem should be trivial.
Answer This Question
Related Questions
 Geometry; Check answers?  For each graph, find (a)AB to the nearest tenth and (...
 geometry  in triangle GHJ, k(2,3) is the midpoint of GH, l(4,1) is the midpoint...
 geometry  in triangle GHJ, K(2,3) is the midpoint of GH, L(4,1) is the midpoint...
 Geometry  J is the midpoint of Gk, H is the midpoint of GJ and I is the ...
 Math (Geometry)  Square ABCD has M as the midpoint of AB, N as the midpoint of ...
 Geometry  Did I solve the following correctly? I had to the fin the midpoint. A...
 Finding the midpoint  Find the midpoint of the line segment joining the points ...
 geometry  In triangle DEF, A(2,3) is the midpoint of DE, B(4,1) is the midpoint...
 Geometry  Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point...
 geometry  One endpoint and the midpoint of a segment are given. Find the ...
More Related Questions