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Slide 2

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The Theorem
· The Pythagorean theorem is named after
the Greek mathematician; Pythagoras.
· Who by tradition is credited with its
discovery and proof.
· His theorem is written as a formula.
a²+b²=c…read more

Slide 3

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What Is The Hypotenuse?
· C² represents the hypotenuse multiplied
by itself (squared).
· The hypotenuse is the side of a right
triangle opposite the right angle.
TOP TIP:
Hypotenuse is
the longest
side in a
triangle!…read more

Slide 4

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Working It Out
STEPS:
· Write out the formula:
a² + b² = c²
· Put the numbers in the write place, and label unknown
sides as a letter.
5² + 12² = C²
· Find the squares of the known numbers:
25 + 144 = 169
· As the hyp. is being squared, to find the real value we
must square root it:
169 = 13…read more

Slide 5

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Sure...?
· Let's see if it really works using an example. A
"3,4,5" triangle has a right angle in it, so the
formula should work.
· Let's check if the areas are the same:
3² + 4² = 5²
· Calculating this becomes:
9 + 16 = 25
YES!!! It works!…read more

Slide 6

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To Be Clear...
1. a² + b² = c²
2. 5² + 12² = c²
3. 25 + 144 = 169
4. C² = 169
5. c = 169
6. c = 13…read more

Comments

daviesg

A clear, simple example also with some 3, 4, 5 proof.

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