# Discovering the Pythagorean Theorem Converse

- Author:
- powere, Matthew Desjardins

Given Right ABC, we want to test the Pythagorean Theorem to see if
c

^{2}^{}= a^{2}+ b^{2}or c^{2}^{}< a^{2}+ b^{2}or c^{2}^{}> a^{2}+ b^{2}On line 1 of the input (on left), calculate c^2 On line 2, try a^{2}+ b^{2}For right triangles,

**Given AcuteABC, we want to test the Pythagorean Theorem to see if c**

*ACTIVITY 2:*^{2}

^{}= a

^{2}+ b

^{2}or c

^{2}

^{}< a

^{2}+ b

^{2}or c

^{2}

^{}> a

^{2}+ b

^{2}On line 1 of the input (on left), calculate c^2 On line 2, try a

^{2}+ b

^{2}Drag the triangle around (keeping all 3 angles acute) to see if the relationship holds.

For acute triangles,

**Given Obtuse ABC, we want to test the Pythagorean Theorem to see if c**

*ACTIVITY 3:*^{2}

^{}= a

^{2}+ b

^{2}or c

^{2}

^{}< a

^{2}+ b

^{2}or c

^{2}

^{}> a

^{2}+ b

^{2}On line 1 of the input (on left), calculate c^2 On line 2, try a

^{2}+ b

^{2}Drag the triangle around (keeping C obtuse) to see if the relationship holds.

For obtuse triangles,