two line segments AB and CD intersect each other at O such that angle AOC =90 degree and AO=OB prove - Maths - Lines and Angles

Question

two line segments AB and CD intersect each other at O such that
angle AOC =90 degree and AO=OB prove that CA =CB

Rajat Sethi · Accepted Answer

To Prove: CA =CBProof:In △AOC and △BOC ,we haveAO =BO (given)∠AOC=∠BOC =90°OC is commonSO,△AOC≅∆BOC (By SAS rule)So, CA =CB (CPCT)<img alt=""
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two line segments AB and CD intersect each other at O such that angle AOC =90 degree and AO=OB.prove that CA =CB