Traditional Culture Encyclopedia - Traditional virtues - In parallelogram ABCD, bisectors BE and CF of angles ABC and BCD intersect with AD at points E and F respectively, and BE and CF intersect at points G. If AB = 3, BC = 5 and CF = 2, find the length of
In parallelogram ABCD, bisectors BE and CF of angles ABC and BCD intersect with AD at points E and F respectively, and BE and CF intersect at points G. If AB = 3, BC = 5 and CF = 2, find the length of
In parallelogram ABCD, bisectors BE and CF of angles ABC and BCD intersect with AD at points E and F respectively, and BE and CF intersect at points G. If AB = 3, BC = 5 and CF = 2, find the length of BE.
Because AD//BC, so
Because BE and CF are angular bisectors, < CBE =< Abel, & ltDCF =< bromochlorodifluoromethane.
So AB=AE, DF=CD
So EF=AE+DF-AD=3+3-5= 1.
The parallel line passing through point E is CF, and the extension line passing through BC is H.
& ltBEH = & lt; BGC = 180-(& lt; ABC+& lt; BCD)/2=90
BE= radical number (BH 2-eh 2) = radical number (6 2-2 2) = 4 radical number 2.
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