Posted by carson on Friday, March 14, 2008 at 12:04am.
In right triangle ABC, angle C=90 degrees, AC = 3 and CB =4. If D is on segment AB and DB = 2, find the distance from D to C.

geometry  drwls, Friday, March 14, 2008 at 2:33am
AB is the hypotenuse, the length of which is sqrt (3^2 + 4^2) = 5 since this is a right triangle. CD is a line from the right angle corner to a point on the hypotenuse. You can gets its length by applying the law of cosines on smaller triangle BCD. You know the lengths of BD and BC and the included angle B cosine (which is 4/5)