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 :
Answer & explanation
Correct answer: option 3
In ΔABC
AM = BM = CM = 15 (circumradius)
We know that,
BL = LC = 24/2 = 12 cm
In right angled ΔMLC,
(MC)2 = (ML)2 + (LC)2
= 152 = ML2 + 122
= ML2 = 225 - 144
= ML = \(\sqrt {81}\) = 9 cm