1969 Canadian MO Problems/Problem 5
Problem
Let be a triangle with sides of length , and . Let the bisector of the cut at . Prove that the length of is
Solution
Let Note that This can be rewritten as
Because the expression can be written as Dividing by as desired.
1969 Canadian MO (Problems) | ||
Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • | Followed by Problem 6 |