Pythagorean Theorem

Pythagorean Theorem p.908

2

2

a b =c

2

Robert C. Gonzalez CE Instructor, San Antonio College

Background ●

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Is used to find a missing side a “right triangle”. Developed by Greek mathematician Pythagoras around 500 BCE. ONLY applies to “right triangles” (Triangles with a 90 degree angle). Known by the following equation:

2

2

a b =c

2

Required Knowledge ●

Must be able to identify a “right triangle.”

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Must be able to identify the “hypotenuse.”

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Must know the rules of Order of Operation (Aunt Sally). Must know how to solve a two step equation.

Key Facts: ●

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Hypotenuse is the side opposite of the right angle. Legs are the two other sides of a right triangle. When using the formula, the hypotenuse is ALWAYS:

c

2

Parts of a “Right Triangle”

hypotenuse leg leg

Build around hypotenuse Either version is acceptable IF the hypotenuse is “c”.

a

2

c b

2

2

b

c

2

a

2

2

Solve using

2

2

a b =c

x

24 7

2

2

Solve using

2

a b =c

Hint: You already have “c”.

5 x

3

2