Converse of the Pythagorean Theorem
- Author:
- Azucena Overman
- Topic:
- Geometry
Converse of the Pythagorean Theorem
Use the Pythagorean Theorem to find the square of the longest side and the sum of the squares of the two shorter sides.
In the first triangle, c^2 > a^2 + b^2.
Why must this be an obtuse triangle?
Now make it so c2 is less than the sum of the squares of the other sides, so that c^2 < a^2 + b^2.
Why must this be an acute triangle?