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ABC and CBD are two angles each equal to 60°. A point O is taken inside the angle ABC and the perpendiculars OP, OQ, and OR are drawn from O to BA, BC, and BD respectively. Show that OR OP + OQ. = CONSTRUCTION: From O draw the line FOG to make an angle 60° with AB or BC; then drop the two perpendiculars BL and GK from B and G on FOG and AB respectively B --- R D 160°

ABC and CBD are two angles each equal to 60°. A point O is taken inside the angle ABC and the perpendiculars OP, OQ, and OR are drawn from O to BA, BC, and BD respectively. Show that OR OP + OQ. = CONSTRUCTION: From O draw the line FOG to make an angle 60° with AB or BC; then drop the two perpendiculars BL and GK from B and G on FOG and AB respectively B --- R D 160°

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.CT: Test
Problem 23CT
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ABC and CBD are two angles each equal to 60°. A point O is taken inside the angle ABC and the perpendiculars OP, OQ, and OR are drawn from O to BA, BC, and BD respectively. Show that OR OP + OQ. CONSTRUCTION: From O draw the line FOG to make an angle 60° with AB or BC; then drop the two perpendiculars BL and GK from B and G on FOG and AB respectively A B R D 0 G 60%
Transcribed Image Text:ABC and CBD are two angles each equal to 60°. A point O is taken inside the angle ABC and the perpendiculars OP, OQ, and OR are drawn from O to BA, BC, and BD respectively. Show that OR OP + OQ. CONSTRUCTION: From O draw the line FOG to make an angle 60° with AB or BC; then drop the two perpendiculars BL and GK from B and G on FOG and AB respectively A B R D 0 G 60%
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