AD and BC are equal perpendiculars to a line
segment AB (see Fig. 7.18). Show that CD bisects
AB
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Answer:
it is given
ad=bc 1
ad perp ab (angle oad=90)
bs prep ab (angleobc=90)
to prove
cd bisec ab,oa=ob
proof
since line cd&ab Intersection
angle aod=angle boc (virtcally opposite angle) 2
in tri BOC&triAOD
angle BOC =angle AOD from 2
angle CBO=angle DAO ( both angle are 90 degree)
BC=AD from 1
therefore, tri BOC congreunt tri AOD (AAS Congruent)
therefore, BO=AO
hence proved
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