A parabola is tangent to the equal sides of an isosceles triangle in its equal vertices. Another tangent is drawn as shown. Prove that the red line segments are congruent.

Scroll down for a solution to this problem.

## Solution

## Poem

The Olympic bowl

Is waiting patiently

The torchbearer carrying the torch

Passing from participant to participant

Ready for the flame

Ready for the games

All nations celebrate

The flame coming from Olympie

Athletes, leaders, celebrities

Carried it

For the opening ceremony