Quadrilateral ABCD is inscribed in a circle, and the lengths of its sides are AB = 5, BC = 9, CD = 7, and DA = 3. Let x be the unknown length of diagonal AC. (a)In terms of x, write an expression for cos B. (b)In terms of x, write an expression for cos D. (c)A simple relationship holds between angles B and D. Use it to help you find the unknown length x. (d)Find the length of diagonal BD.

Quadrilateral ABCD is inscribed in a circle, and the lengths of its sides are AB = 5, BC = 9, CD = 7, and DA = 3. Let x be the unknown length of diagonal AC. (a)In terms of x, write an expression for cos B. (b)In terms of x, write an expression for cos D. (c)A simple relationship holds between angles B and D. Use it to help you find the unknown length x. (d)Find the length of diagonal BD.

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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