quiz2 - Problem 3. A convex octagon inscribed in a circle...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Putnam Exam Seminar Quiz 2 Fall 2010 September 15 Problem 1. Suppose an arbitrary triangle has interior angles α , β and γ . Show that sin α 2 sin β 2 sin γ 2 1 4 . Problem 2. The area A and an angle θ of a triangle are given. Determine the lengths of the sides a and b so that the side opposite θ is as short as possible.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problem 3. A convex octagon inscribed in a circle has 4 consecutive sides of length 3 units and 4 consecutive sides of length 2 units. Find its area. Express your answer in the form r + s t where r,s,t are natural numbers....
View Full Document

Ask a homework question - tutors are online