Barge Math Competition - Spring Semester

Week 8’s Problem: The Triangle Inequality?

Not exactly, but there is a triangle involved.

Find all real values of x, y, and z so that the inequality

xA² + yB² + zC ² ≤ 0

is satisfied, for all values of A, B, and C that are the sides of a triangle. (That is, the (x, y, z) values should work simultaneously for all A, B, and C that are the sides of a triangle.)

How to submit your answer:

Bring your solution to the Math Department office in 230 Pardee, or send it by email to Ethan Berkove at berkovee@lafayette.edu. Problem #8 is due by the end of the day on Friday, April 21.