arrow
arrow
arrow
In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?
Question

In a triangle ABC, medians AD and BE intersect at G. If the length of median AD is 12 cm, what is the length of the segment AG?

A.

4 cm

B.

6 cm

C.

8 cm

D.

9 cm

Correct option is C

Given :

In triangle ABC, medians AD and BE intersect at the centroid G.
Length of median AD = 12 cm.

Formula Used :
The centroid divides each median in the ratio
AG : GD = 2 : 1

So,
AG = 23×AD\frac{2}{3} \times AD​​

Solution :

AG =23×12=8 cm= \frac{2}{3} \times 12 = 8 \text{ cm}​​

Free Tests

Free
Must Attempt

SSC GD PYP (Held on 4 Feb 2025 S1)

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
Free
Must Attempt

Hindi Section Test 1

languageIcon English
  • pdpQsnIcon20 Questions
  • pdpsheetsIcon40 Marks
  • timerIcon12 Mins
languageIcon English
Free
Must Attempt

SSC GD Constable Full Mock Test 1

languageIcon English
  • pdpQsnIcon80 Questions
  • pdpsheetsIcon160 Marks
  • timerIcon60 Mins
languageIcon English
test-prime-package

Access ‘SSC CGL Tier I’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
348k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow