1-a. Draw ĂâABC with obtuse âË C and construct its orthocenter O. Then find the orthocenters of ĂâABO, ĂâACO, and ĂâBCO. What did you discover?
B- Will your conjecture be true for any acute or right ĂâABC? Explain your reasoning.
2-In ĂâABC, AB is not congruent to BC. Show that there does not exist a point P on altitude BD that is equidistant from A and C. The triangle is attached below.