Proving a Triangle is Acute, Right or Obtuse

Using Pythagorean's Theorem to Find out if triangles are acute, obtuse, or right.
In the applet below, notice that [b][color=#0000ff]the sum of the squares of the two shorter sides[/color][/b] is equal to [b][color=#ff0000]the square of the longest side[/color][/b] when the triangle is a right triangle.[br][br]What is the relationship between [b][color=#0000ff]the sum of the squares of the shorter sides[/color][/b] and [b][color=#ff0000]the square of the longest side [/color][/b]when the triangle is [b]acute[/b] or [b]obtuse[/b].
– Ginger Angell, Keith Hatfield

Information: Proving a Triangle is Acute, Right or Obtuse