10.1 Triangle Inequality Theorem
Investigation 1
Complete page 1 of notes
In your notes, compare the sums of two sides of the triangle and the third. What do you notice when comparing the sums to the third side?
Investigation 2
This theorem is extremely important but very easy to see. Instead of looking at the measure of the angles, you will look at the length of sides. As you investigate this theorem, be sure to look at all sorts of triangles (equilateral, right, acute, and obtuse).
Examine the sides of the triangles and their relationships to the opposite angles. Add your conclusions to your notes.
Which statement matches the discovery you made concerning the lengths of the sides of triangles?
You may need to go back to the top to examine a few triangles before you fill in the blank to this statement accurately. The shortest side of any triangle will always be across from the _____________ angle of that triangle.