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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)² = (AB)² + (AC)² – 4 (AB)(AC) cos B (BC)²+(AC)²-(AB)? iii. cos C = (AC)(BC) A. i and ii B. ii and ii O C. i and ii D. i, ii, and iii

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)² = (AB)² + (AC)² – 4 (AB)(AC) cos B (BC)²+(AC)²-(AB)? iii. cos C = (AC)(BC) A. i and ii B. ii and ii O C. i and ii D. i, ii, and iii

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 7E: In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the...
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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)² = (AB)² + (AC)² – 4(AB)(AC) cos B (BC)²+(AC)?-(AB)? iii. cos C = (АC)(ВС) O A. i and ii B. ii and ii C. i and iii O D. i, ii, and ii Consider a parallelogram with diagonals of length of 25.8 and 30.8 respectively. These two diagonals intersect at an angle of 42.4°. Find the length of the longer side of the parallelogram. O A. 10.50 В. 26.40 О с. 20.99 O D. 52.80 37 The number of solutions to cos 0 = - c, with 0 <c<1 and 2 O A. O В. 1 О С. 2 O D. Infinitely many
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)² = (AB)² + (AC)² – 4(AB)(AC) cos B (BC)²+(AC)?-(AB)? iii. cos C = (АC)(ВС) O A. i and ii B. ii and ii C. i and iii O D. i, ii, and ii Consider a parallelogram with diagonals of length of 25.8 and 30.8 respectively. These two diagonals intersect at an angle of 42.4°. Find the length of the longer side of the parallelogram. O A. 10.50 В. 26.40 О с. 20.99 O D. 52.80 37 The number of solutions to cos 0 = - c, with 0 <c<1 and 2 O A. O В. 1 О С. 2 O D. Infinitely many
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