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

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The Pythagorean Theorem