Investigating the Converse of the Pythagorean Theorem

Now move the green slider to make an obtuse triangle. (Do not move the sliders for a and b.) Using the applet, find c².

Look at the value you found for c² and compare it with your classmates values. Do you notice any patterns for the value of c² in an obtuse triangle?

Now move the green slider to make an acute triangle. (Do not move the sliders for a and b.) Using the applet, find c².

Look at the value you found for c² and compare it with your classmates values. Do you notice any patterns for the value of c² in an acute triangle?

If a triangle has sides a, b and c such that a² + b² = c² then the triangle is what type of triangle?

If a triangle has sides a, b, and c such that a² + b² > c² then the triangle is what type of triangle?

If a triangle has sides a, b, and c such that a² + b² < c² then the triangle is what type of triangle?