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let triangle ABC be a triangle in which all three interior angles are acute and let...

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Basic Math

let triangle ABC be a triangle in which all three interiorangles are acute and let A'B'C' be the orthic triangle.

a.) Prove that the altitudes of triangle ABC are the anglebisectors of triangle A'B'C'.

b.) Prove the orthocenter of triangle ABC is the incenter oftraingle A'B'C'.

c.) Prove that A is the A' -excenter of triangle A'B'C'.

Answer & Explanation Solved by verified expert
4.0 Ratings (696 Votes)
Altitudes and the Orthic Triangle of TriangleABCGiven a triangle ABC with acute angles let A B C be thefeet of the altitudes of the triangle A B C are points on thesides of the triangle so that AA BB CC are altitudesThen we have proved earlier that the altitudes are concurrent ata point    See Answer
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