A 356. 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. B 5 3 D %3D 7
A 356. 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. B 5 3 D %3D 7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:356. 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.
B.
D
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