Multiple choice

$O$ is the centre of the circle having radius $5$ cm. $AB$ and $AC$ are two chords such that $AB = AC = 6$ cm. If OA meets $BC$ at $M$, then $OM$ is equal to

  1. $3.6$ cm
  2. $1.4$ cm
  3. $2$ cm
  4. $3$ cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In triangle ABC, AB=AC=6. O is the center, radius=5. OM is perpendicular to BC. Using properties of chords and triangles, the calculation leads to OM = 1.4 cm.

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