In a circle with centre a chord AQ congurrent chord RS
Name, the two congerrent minor are
with reason
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hey mate here is your answer..
Given two chords ab and CD of a circle C (O, r) OE perpendicular AB and OF perpendicular CD such that
OE
To prove:AB>CD
Construction :join OA and OC
PROOF we know that the perpendicular from the centre of a circle to a chord bisects the chord
AE=1/2 AB
And, CF=1/2 CD
Also, OA=OC=r. [2 nd]
And, OEOF>OE
OF SQUARE >OE SQUARE[3 rd]
now from the right triangle OEAand OFC we have;
OA square =OE square +AE square and OC square =OF square +CF square
OE square +AE square =OF square +OF square [OA=OC=r]
OA square +AE square =OF SQUARE +CF SQUARE >OE SQUARE +CF SQUARE [USING 3]
AE SQUARE >CD SQUARE
AB>CD
Hence, AB>CD
hope it helps you dear..
Step-by-step explanation:
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