Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔXYZ, if G is the centroid and XL is the median with length 18 cm, then the length of XG is :

Options:

14 cm

16 cm

12 cm

10 cm

Correct Answer:

12 cm

Explanation:

XL = XG + GL

XG: GL = 2: 1 (G is the centroid)

= XG = (2/3) of XL 

= XG = (2/3) × 18

= XG = 12