Discovering the Pythagorean Theorem Converse
Given Right ABC, we want to test the Pythagorean Theorem to see if
c2 = a2 + b2 or
c2 < a2 + b2 or
c2 > a2 + b2
On line 1 of the input (on left), calculate c^2
On line 2, try a2 + b2
For right triangles,
ACTIVITY 2:
Given AcuteABC, we want to test the Pythagorean Theorem to see if
c2 = a2 + b2 or
c2 < a2 + b2 or
c2 > a2 + b2
On line 1 of the input (on left), calculate c^2
On line 2, try a2 + b2
Drag the triangle around (keeping all 3 angles acute) to see if the relationship holds.
For acute triangles,
ACTIVITY 3:
Given Obtuse ABC, we want to test the Pythagorean Theorem to see if
c2 = a2 + b2 or
c2 < a2 + b2 or
c2 > a2 + b2
On line 1 of the input (on left), calculate c^2
On line 2, try a2 + b2
Drag the triangle around (keeping C obtuse) to see if the relationship holds.
For obtuse triangles,