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OpenStudy (yacoub1993):
@superdavesuper Help me here
OpenStudy (superdavesuper):
See the two small triangles on the left n right of line segment l? if u can prove them congruent, then R will be equidistant from pt C n D. follow me so far?
OpenStudy (yacoub1993):
yes i am following u
OpenStudy (yacoub1993):
go ahead
OpenStudy (yacoub1993):
i think they are congruent because I intersects mid of CD
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OpenStudy (superdavesuper):
:) hahahaha u hardly need me :P
OpenStudy (superdavesuper):
i will give u 1 more hint: l is not just the bisector of CD....it is the perpendicular bisector....
OpenStudy (yacoub1993):
i still didnt get nd sory i was having a coffee so that i dont sleep
OpenStudy (yacoub1993):
i really need your help
OpenStudy (superdavesuper):
OK Im back :)
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OpenStudy (superdavesuper):
Where did u get stuck? u were doing just fine before
OpenStudy (yacoub1993):
wen u said .it is the perpendicular bisector
OpenStudy (superdavesuper):
well back to wat u said be4, can u provide the two triangles are congruent?
OpenStudy (superdavesuper):
i mean prove...sorry
OpenStudy (yacoub1993):
yes because the line that R is intersected is the mid point of CD
am i correct
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OpenStudy (superdavesuper):
yes so u got 1 side...what else do u have to prove congruent?
OpenStudy (yacoub1993):
i mean the line goes all the way to R from the midpoint of CD
OpenStudy (superdavesuper):
yup yup
OpenStudy (yacoub1993):
then whats next
OpenStudy (superdavesuper):
what other info u know about the two triangles? any more info about their sides?
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OpenStudy (superdavesuper):
or angles? look at the picture n see what the two triangles have in common :)
OpenStudy (yacoub1993):
side CR EQUAL TO SIDE DR AND ANGLE C EQUALS TO ANGLE D
OpenStudy (superdavesuper):
no, u dont know CR=DR that is the thing u are trying to prove here. same for angle C n D....
OpenStudy (superdavesuper):
but what about the third side of these two triangles?
OpenStudy (yacoub1993):
dont know
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OpenStudy (superdavesuper):
Need more coffee? :P Look again at two triangles - u got 1 of the 3 sides being equal because l is the bisector. CR n DR u dont know. how about the third side??
OpenStudy (yacoub1993):
Angle R u mean
OpenStudy (yacoub1993):
or u mean CD
OpenStudy (superdavesuper):
Nope there are 3 sides for a triangle.....
OpenStudy (yacoub1993):
yes CR DR nd CD
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OpenStudy (yacoub1993):
right
OpenStudy (superdavesuper):
Not the big triangle but the two smaller triangles; one on the left n one on the right
OpenStudy (yacoub1993):
CR CI RI the one on the left
OpenStudy (yacoub1993):
I is 90°
OpenStudy (superdavesuper):
There u go - so now u have one side and one angle of the two triangle being the same right?
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OpenStudy (yacoub1993):
yes
OpenStudy (superdavesuper):
So all u need is one more side then u can prove the two triangles congruent right?
OpenStudy (yacoub1993):
yes
OpenStudy (superdavesuper):
But wait - look at the picture....aren't both triangle sharing one side? :P
OpenStudy (yacoub1993):
they are sharing RI
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OpenStudy (superdavesuper):
Woooohooooo so are the two small triangles congruent?
OpenStudy (yacoub1993):
yes and now lets conclude all the answer in one sentence