What's the length of the |KE| ?

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Answer = 5

1 Answer
CW
Sep 18, 2017

#KE=5# units

Explanation:

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Given #DeltaABC# is right-angled at #A#, #BC# is the diameter of the circumcircle of #DeltaABC#, as shown in the figure.
Let #O# be the center of the circumcircle,
#=> OA=OB=OC="radius"=10#
As #K# is the midpoint of #AB# and #E# the midpoint of #OB#,
#=> KE# is parallel to #AO#,
#=> DeltaBKE and DeltaBAO# are similar,
#=> KE=1/2xxAO=1/2xx10=5# units

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