a) In a triangle AABC with side lengths a,b,c opposite to the angles A, B , C respectively, prove the cosine law: a² + c² – b² cos B 2ас b) If D is the foot from C, show that |CD]? = h? = 45(s – a)(s – b)(s – b) a + b +c A where s 2 (Hint: Note that s – a = (b + c – a) etc. ) c) Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

a) In a triangle AABC with side lengths a,b,c opposite to the angles A, B , C respectively, prove the cosine law: a² + c² – b² cos B 2ас b) If D is the foot from C, show that |CD]? = h? = 45(s – a)(s – b)(s – b) a + b +c A where s 2 (Hint: Note that s – a = (b + c – a) etc. ) c) Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

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

Section3.2: Corresponding Parts Of Congruent Triangles

Problem 43E

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