Math
posted by Jillian .
Find the length of segment BC if segment BC is parallel to segment DE and segment DC is a medsegment of triangle ABC.
A(3,4) E(4,3) D(1,1)
B and C do not have coordinates

A diagram will help solve these geometry problems.
If DC is a midsegment, i.e. D is at the mid point of AB of triangle ABC, then mAD=mDB and since DE is parallel to BC, mAE=mEC.
By similar triangles, mBC = 2* mDE
The length of
mBC=2*sqrt((ExDx)²+(EyDy)²)
=2*sqrt((41)²+(31)²)
=2*sqrt(13) 
20 cm
Respond to this Question
Similar Questions

geometry
given: segment AB is paralell to segment DC; segment AB is congruent to segment to DC prove: triangle ABC is congruent to triangle CDA statements: 1. segment AB is congruent to segment DC 2.segment AC is congruent to segment AC 3.segment … 
geometry
In triangle abc, point B is on segment ab, and point E is on segment bc such that segment de is parallel to segment ac if db=2, da=7, de=3, what is the length of segment ac? 
Math
segment yw is perpendicular to segment xz. the perimeter of triangle xyz is 71 meters. what is the length of segment wz 
geometry
IVEN: trapezoid ABCD EF are the midpoints of segment AB and segment CD, PROVE: segment EF is parallel to segment BC is parallel to AD , segment EF= onehalf (AD + BC) 
GeOmEtRy!!!
In triangle ABC,segment BF is the angle bisector of angle ABC, segment AE,segment BF, and segment CD are medians, and P is the centroid. Find x if DP=4x3 and CP=30 
geometry
I need to figure out this proof, the figure is two triangles forming a rhombus. Given: segment BD is the angle bisector of triangle ABC and triangle ADC Prove: Triangle ABD is congruent to Triangle CBD So far I have segment BD is the … 
7th grade math
Quadrilateral WXYZ os describes below. Line segment WX is parallel to line segment YZ. Line segment XY is the same length as line segment ZW. Line segment Xy is not parallel to line segment ZW. Which of the following describes quadrilateral … 
Geometry
In the figure, square WXYZ has a diagonal of 12 units. Point A is a midpoint of segment WX, segment AB is perpendicular to segment AC and AB = AC. What is the length of segment BC? 
geometry
given: segment HI congruent to segment GJ, segment HI parallel to segment GJ prove: triangle GJH congruent to triangle IHJ 
Geometry
Theorem: A line parallel to one side of a triangle divides the other two proportionately. In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB: The figure shows triangle ABC with segments DE and …