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 1 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • | Followed by Problem 3 |