1961 IMO Problems/Problem 5

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Page

Toolbox

Search

1961 IMO Problems/Problem 5

Problem

Solution

See Also