The Pythagorean Theorem

The Pythagorean Theorem a² + b ² = c² Pythagoras's Theory diagram Pythagoras’s theorem

Who Invented It? ,[object Object],[object Object],[object Object],(Pythagoras)

Right Angle Triangle ,[object Object],[object Object],(Right Angle Triangle) The other two sides are labelled ‘a’ for the altitude and ‘b’ for the base . (The ‘a’ and ‘b’ sides can also be called a leg )

An example of finding a missing Hypotenuse ,[object Object],3 4 ? Ex. for the Pythagorean Theorem: say square A is 3 x 3 and the B square is 4 x 4 (The ex. Triangle with the measurements for the sides ‘a’ and ‘b’) The Pythagorean Theorem ,[object Object],3 4 ?

Continuing the example of finding the missing Hypotenuse ,[object Object],[object Object],[object Object],9 16 ? Still a mystery (Again the diagram of right angle triangle and the three equal triangles with A and B numbers filled in)

Still Continuing the example of finding the missing Hypotenuse ,[object Object],[object Object],[object Object],5 3 4 (The Pythagorean diagram with the solved question)

An example now of finding a missing leg ,[object Object],[object Object],5 5 4 4 ? ? In this case the hypotenuse is 5 x 5 and the base is 4 x 4 and we do not know the altitude (The ex. Triangle with the measurements for sides ‘c’ and ‘b’)

Continuing the example of finding a missing leg ,[object Object],[object Object],25 16 ? The diagram of the Pythagoras right angle triangle with the area filled in for squares C and B and A still unknown

Still Continuing the example of finding a missing leg ,[object Object],[object Object],[object Object],[object Object],3 4 5 (The finished problem)

The Pythagorean Theorem

Empfohlen

Empfohlen

Weitere ähnliche Inhalte

Was ist angesagt?

Was ist angesagt? (20)

Andere mochten auch

Andere mochten auch (9)

Ähnlich wie The Pythagorean Theorem

Ähnlich wie The Pythagorean Theorem (20)

Kürzlich hochgeladen

Kürzlich hochgeladen (20)

The Pythagorean Theorem