1)In the figure above, AC=6 and BC=3. Point P lies on AB between A and B such that CP is perpendicular to AB. Which of the following could be the length of CP?
Triangle PBC is a right triangle (PC is perpendicular to AB), therefore CP being a leg is shorter than the hypotenuse, which is BC.
Only 2 is acceptable from the given list of answers.
2) In the figure below, E is the midpoint of AC. AC is perpendicular to AB, and AD=DB. If BC=4 cm, what is the value of BEsquare+CDsquare?
Picture Reference: http://24.media.tumblr.com/tumblr_m8wbh ... 1_1280.jpg