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what is the pythagorean theorm?

if a triangle is a right triangle then a²+b²=c²

what is the converse of the pythagorean theorm?

if a²+b²=c² then the triangle is a right triangle

what are the pythagorean tripples?

3-4-5

5-12-13

7-24-25

8-15-17

5-12-13

7-24-25

8-15-17

isosceles right triangle conjecture

side length (l) : hypotenuse l√2

30°60°90° triangle conjecture

shorter leg (a) : longer leg a√3 : hypotenuse 2a

distance formula

AB=√(x₂-x₁)² +(y₂-y₁)²

equation of a circle

(x-h)²+(y-k)² = (r)²