In ΔABC, D and E are the midpoints of sides BC and AC, respectively, AD and BE intersect at G at right angle. If AD = 18 cm and BE = 12 cm, then the length of DC (in cm) is:

Answer: Option A

Solution

Answer: Option A

Solution:

AD = 18
BE = 12
BO = 8
DG = 6
ΔDGB

8² + 6² = BD²
BD = 10
BD = CD = 10