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1961 IMO Problems/Problem 5

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Problem

Construct a triangle ABC if the following elements are given: AC = b, AB = c, and \angle AMB = \omega \left(\omega < 90^{\circ}\right) where M is the midpoint of BC. Prove that the construction has a solution if and only if

b \tan{\frac{\omega}{2}} \le c < b

In what case does equality hold?


Solution

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1961 IMO (Problems)
Preceded by
Problem 4
1 2 3 4 5 6 Followed by
Problem 6
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