Question: 1- a. Draw nABC with obtuse /C and construct its orthocenter O. Then find the orthocenters of nABO, nACO, and nBCO. What did you discover?

1-

a. Draw nABC with obtuse /C and construct its orthocenter O. Then find the orthocenters of nABO, nACO, and nBCO. What did you discover?

B- Will your conjecture be true for any acute or right nABC? Explain your reasoning.

2-In ABC, 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

Proof ems to explore relationships among sides, angles, and special ingles. ise / C and construct its orthocenter O. Then find the ), AACO, and ABCO. What did you discover? Explain why e true for any acute or right AABC? Explain your reasoning. d Proof oning to prove relationships within triangles. w that there does not exist a point Pon altitude m A and C. A C D

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