Q2.i) Let AABC be a triangle in N.G. with sides lengths a, b, c and the measures of the opposite angles are a,B.y respectively. Assuming E=a +B+y and a

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 29E: Given circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of...
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Q2.i) Let AABC be a triangle in N.G. with sides lengths a, b, c and the
measures of the opposite angles are a,B,y respectively. Assuming
E=a + B+y and a<b<c. Show that : 3a <E< 3y. Sketch.
ii) Let AABC be a triangle in H.G. with sides lengths AC=4, AB=8= CB. Let E
be between A and C such that AE=1 and let F be between A and B such that
AF=2. Prove that : m180(LACB) < m180( LAEF).Sketch.
Transcribed Image Text:Q2.i) Let AABC be a triangle in N.G. with sides lengths a, b, c and the measures of the opposite angles are a,B,y respectively. Assuming E=a + B+y and a<b<c. Show that : 3a <E< 3y. Sketch. ii) Let AABC be a triangle in H.G. with sides lengths AC=4, AB=8= CB. Let E be between A and C such that AE=1 and let F be between A and B such that AF=2. Prove that : m180(LACB) < m180( LAEF).Sketch.
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