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,

Select all that apply
  • A
  • B
  • C
Check my answer (3)
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,

Select all that apply
  • A
  • B
  • C
Check my answer (3)
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,

Select all that apply
  • A
  • B
  • C
Check my answer (3)