Open Middle Problem: Law of Cosines (V2)
- Author:
- Tim Brzezinski
- Topic:
- Cosine, Geometry, Trigonometry
Creation of this problem was inspired by this OpenMiddle problem posted by Erik Lee.
It's not the same problem, but rather a spin-off.
In the triangle below, you can move the LARGE POINTS to adjust its side lengths.
- The LARGE POINTS on the left control the length of the left side.
- The LARGE POINTS on the right control the length of the right side.
- The LARGE POINTS on the bottom control the length of the bottom side.
Given the condition that the integers 1-9 must appear at most 1 time each, what is the largest possible interior angle you can create? What is the smallest?
What is the measure of the largest angle you can possibly make under this "no repeated values" constraint?
What is the measure of the smallest angle you can possibly make under this "no repeated values" constraint?