You are making the kite shown at the right from five pairs of congruent panels. In parts (a)–(d) below, use the given information to find the side lengths of the kite’s panels.
ABCD is a kite.
EB=15 in., BC=25 in.
The extended ratio XY:YZ:ZC is 3:1:4.
EX is perpendicular BC, EX is parallel to YF, YF is parallel to GZ.
a) triangle BEX, b) XEFY, c) YFGZ, d) triangle ZGC

Question

You are making the kite shown at the right from  five pairs of congruent panels. In parts (a)–(d) below, use the given information to find the side lengths of the kite’s panels.
ABCD is a kite.
EB=15 in., BC=25 in.
The extended ratio XY:YZ:ZC is 3:1:4.
EX is perpendicular BC, EX is parallel to YF, YF is parallel to GZ.
  a) triangle BEX, b) XEFY, c) YFGZ, d) triangle ZGC

ellamoyseyuk · Answer

http://assets.openstudy.com/updates/attachments/57239b68e4b00ff203b79be2-ellamoyseyuk-1461951467329-imag25492.jpg

ellamoyseyuk · Answer

EC^2 = 625 - 225 

EC^2 = 400 

EC = sqrt(400) 

EC = 20

ellamoyseyuk · Answer

EX^2 = 25^2 -20^2 
EX^2= 625- 400 
EX^2= 225 
EX=sqrt (225) 
EX= 15

ellamoyseyuk · Answer

XC^2= 25^2-15^2 
XC^2= 625-225 
XC^2= 400 
XC= sprt(400) 
XC= 20

ellamoyseyuk · Answer

How would you get XY:YZ:ZC  and  a) triangle BEX, b) XEFY, c) YFGZ, d) triangle ZGC

phi · Answer

I'm checking your work for EX.  Finding EX is a bit tricky
if we draw the shape this way
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