In a ΔABC, the median BE intersects AC at E. If BG = 12 cm, where G is the centroid, then BE is equal to:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 18 cm.
BE is median anf G is centroid.
BG = 12 cm
If G is the centroid of any triangle then it divides the median of the triangle in 2 : 1 ratio.
Let the length of BE is 3x cm.
Then BG = 2x and GE = x.
Now, it is given that BG = 12
⇒ 2x = 12
⇒ x = 6
So, BE = 3x = 3 × 6 = 18.
Hence the value of BE is 18 cm.