Question

RC is the median and G is the centroid in the triangle, if RG is 2.5 cm what is the length of median RC.

• A. 5
• B. 7.5
• C. 3.75
  
• D. 4.5

Answer 1

Answer: (B), (C)

The correct options are
B 7.5
C 3.75


we know that,
Centroid divides the Median in the ratio 2:1

CASE:1

$\frac{GC}{RG}$$=\frac{1}{2}$
$\frac{GC}{2.5}$$=\frac{1}{2}$
GC = 1.25
RC = 1.25 + 2.5 = 3.75 cm

CASE:2

$\frac{GC}{RG}$$=\frac{2}{1}$
$\frac{GC}{2.5}$$=\frac{2}{1}$
GC = 5
RC = 5+2.5 = 7.5 cm