MX is the median of ΔMNO. Y is the

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

MX is the median of ΔMNO. Y is the centroid of ΔMNO. If YX = 12 cm, then what is the length of MX?

Options:

30 cm

36 cm

28 cm

24 cm

Correct Answer:

36 cm

Explanation:

We have,

YX = 12 cm.

We know that,

The centroid (Y) divides the median (MX) in the ratio 2 : 1.

= MY = 2 × YX = 2 × 12 = 24 cm.

= MX = MY + YX = 24 + 12 = 36 cm.