Friday

August 1, 2014

August 1, 2014

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=7. Find AE.

- geometry -
**Steve**, Monday, December 12, 2011 at 6:10pmJust 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.

**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...

Math (Geometry) - Square ABCD has M as the midpoint of AB, N as the midpoint of ...

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 ...

geometry - In triangle DEF, A(2,3) is the midpoint of DE, B(4,1) is the midpoint...

Finding the midpoint - Find the midpoint of the line segment joining the points ...

Geometry - Is it possible for AB = 10, BC = 2x + 5 and AC = 5x, given that point...

Math (Geometry) - Square ABCD has M as the midpoint of AB, N as the midpoint of ...

geometry - M is the midpoint of JK, Q is the midpoint of MK, and X is the ...