Given: Equilateral triangle ABC, with AD, BE, and CF as altitudes. Prove: AD, BE, and CF are congruent.
Step 1: The sides and angles of the triangle are congruent. Reason 1: Definition of equilateral. Step 2: All angles with D, E, and F as vertices are right. Reason 2: Definition of altitude. Step 3: Three triangles that I'm not going to name because I don't have a figure are all congruent. Reason 3: Some sort of triangle congruence postulate. Step 4: The altitudes are congruent. Reason 4: CPCTC. (Q.E.D. TPM. ESB. QGJ. FBI. You get the point.)
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(Anonymous) 2006-03-20 11:59 pm (UTC)(link)-Author
P.S. I have PROOF!!! *cackles insanely*
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Given: Equilateral triangle ABC, with AD, BE, and CF as altitudes.
Prove: AD, BE, and CF are congruent.
Step 1: The sides and angles of the triangle are congruent. Reason 1: Definition of equilateral.
Step 2: All angles with D, E, and F as vertices are right. Reason 2: Definition of altitude.
Step 3: Three triangles that I'm not going to name because I don't have a figure are all congruent. Reason 3: Some sort of triangle congruence postulate.
Step 4: The altitudes are congruent. Reason 4: CPCTC. (Q.E.D. TPM. ESB. QGJ. FBI. You get the point.)
no subject