Answered: Show that p = V2/1 - cos O in an…

Show that p = V2/1 - cos O in an isosceles triangle that has two sides of length p, an angle of 0 between these two sides, and a third side of length r.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section: Chapter Questions

Problem 3GP

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Question

22. Show that
r
p =
V2/1 – cos 0
in an isosceles triangle that has two sides of
length p, an angle of 0 between these two
sides, and a third side of length r.
-

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The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.

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