Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

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 :

Options:

10 cm

12 cm

9 cm

8 cm

Correct Answer:

9 cm

Explanation:

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