. In , AD and BE are the altitudes to BC and AC respectively. If AD = 8 cm, BC = 10 cm and AC = 12 cm, find the
length of BE.
Draw a diagram. Clearly,
CD^2 + 8^2 = 12^2
Now you have CD, and thus BD=10-DC
AB^2 = BD^2 + 8^2
Now you have AB
BE^2 + EC^2 = 10^2
BE^2 + (12-EC)^2 = AB^2
Now just solve for BE