SOLUTION: There is the square ABCD. Trace a line between corner A and midpoint E of side DC. Trace another line between corner A and point F of side DC such that AF equals AB+FC. Prove that
Algebra ->
Customizable Word Problem Solvers
-> Geometry
-> SOLUTION: There is the square ABCD. Trace a line between corner A and midpoint E of side DC. Trace another line between corner A and point F of side DC such that AF equals AB+FC. Prove that
Log On
Question 19984: There is the square ABCD. Trace a line between corner A and midpoint E of side DC. Trace another line between corner A and point F of side DC such that AF equals AB+FC. Prove that angle DAE is half of angle FAB. Answer by Paul(988) (Show Source):
You can put this solution on YOUR website! ____e___
D|x x|C
| |f
| | (Go on "Show soucre" to see the answer}
A|y______y|B
Comment: First draw your diagram we know that
Label one side x and the other y. So it is 2x+2y=360
Proof: Lets say we want to proof that
In
in
2x+2y=180
x+y=90
In
45+45+
Now if you do that to same throughout DAF is also 90 degrees
Now if 90 + 90 =180 And the middle of these two angles is 180 degrees. Then
(