How can we use the Pythagorean Converse to prove side lengths of triangles are acute or obtuse triangles?
We have already saw how to determine whether or not three side lengths form a right triangle, now let's see how we can determine whether or not three side lengths will form an acute or an obtuse triangle. If a^2 + b^2 = c^2 then you have a Right Triangle, but determining an Acute or Obtuse Triangle you will need an inequality. |
Using the above inequalities or equation let's see what happens when I substitute the side lengths of the triangle to the left into the Pythagorean Theorem.
**Remember side "c" (the hypotenuse) is always the longest side** 9^2 + 11^2 = 14^2 81 + 121 = 196 202 > 196 Since 202 is greater than 196, meaning the sum of a squared and b squared are larger than c squared, then this triangle is an acute triangle. |
Try the next one on your own