Answered: Let ABC be a triangle with orthocenter…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter12: Angle Relationships And Transformations

Section12.3: Angles And Polygons

Problem 18E

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Let ABC be a triangle with orthocenter H, incenter I and circumcenter O. Prove that:

(a) If ∠A is acute, then ∠BOC = 2∠A.

(b) If 4ABC is acute, then ∠BHC = 180◦ − ∠A.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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