Multiple choice

M is the circumcentre of ΔABC with circumradius 15 cm. Let BC = 24 cm and ML is perpendicular to BC. Then the length of ML is

  1. 9 cm

  2. 10 cm

  3. 15 cm

  4. 12 cm
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A Correct answer
Explanation

In a triangle, the distance from circumcenter to any side equals the circumradius minus the distance from that side's midpoint to the opposite vertex. Using Pythagorean theorem: BM = BC/2 = 12 cm. In right triangle BMC (where M is circumcenter), MC = 15 cm (circumradius). So ML (distance from M to BC) = sqrt(15² - 12²) = sqrt(225 - 144) = sqrt(81) = 9 cm.

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