Given a triangle ABC, which among the following shows the Laws of Cosine? * i. (AC)? = (AB)² + (BC)² – 4 (AB) (BC) cos A ii. (BC)? = (AB)² + (AC)² – 4(AB) (AC) cos B (BC) +(AC)²-(AB)² iii. cos C = (АC( ВС) O i and ii O ii and i O i and iii O i, ii, and i

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 37E: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On...
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Given a triangle ABC, which among the following shows the Laws of
Cosine? *
i. (AC)² = (AB)² + (BC)² – 4 (AB) (BC) cos A
ii. (BC)? = (AB)² + (AC)² – 4 (AB)(AC) cos B
(BC)²+(AC)²-(AB)²
(AC)(BC)
iii. cos C =
O i and ii
O ii and i
O i and iii
O i, ii, and ii
Transcribed Image Text:Given a triangle ABC, which among the following shows the Laws of Cosine? * i. (AC)² = (AB)² + (BC)² – 4 (AB) (BC) cos A ii. (BC)? = (AB)² + (AC)² – 4 (AB)(AC) cos B (BC)²+(AC)²-(AB)² (AC)(BC) iii. cos C = O i and ii O ii and i O i and iii O i, ii, and ii
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