In the given figure, O is the centre of the circle of radius 5 cm. AB and AC are two chords, such that AB = AC = 6 cm. If OA meets BC at M, then OM = ?

Hi, 
Refer the similar link:
https://www.meritnation.com/ask-answer/question/in-a-circle-of-radius-5-cm-ab-and-ac-are-two-chords-such-tha/circles/3316270

After finding BC , half it so it is 3 
So here OM is OP so use pythagorus theorem in trinagle OPB, 
OP in your question OM=52-32= 4 cm

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m is the mid point
 
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