Mr. Garcia & Mr. Jimenez Geometry But first...What is a Right Triangle? The Pythagorean Theorem And what theorem

were you talking about? Now something to remember THE

PYTHAGOREAN

THEOREM A B C a b c -It is a triangle which has an angle that is 90 degrees.

-The two sides that make up the right angle are called legs.

-The side opposite the right angle is the hypotenuse.

-Tip: The hyphotenuse is always pointed by the 90 degree angle

"El Dedo" "El Chismoso" In a right triangle, if a and b are the measures of the legs and c is the hypotenuse, then

Note: The hypotenuse, c, is always the longest side.

Tip: "a" & "b" can be be labeled as you desired but "c" has to be the one that you have to locate and label first according to the rule of the longest side. But from where do we get the exponents from the formula ? ( Squares ) Different civilizations way to prove the Pythagorean Theorem Now lets compare our results and compare our outcomes. 1.

2.

3.

4.

5. Geometry all around us...And Pythagoras is everywhere.... A Different Algebraic Approach.... But what if ..........we are looking for "a"..then...

the theorem algebraically mutates into... Or if we are looking for "b" KEYWORDS - Right Triangle

- Vertices

- Sides/ Legs

- Hyphotenuse

- Pythagorean Theorem

- Inequalities What if we are looking for "c" ? Now lets solve for something simple. Find the missing side...Use tips... REAL LIFE SITUATIONS PYTHAGOREAN THEOREM. Pepe wants to get a computer monitor for his desk which can hold a 22 inch monitor. He has found a monitor 16 inches wide and 10 inches high. Will the computer fit into Pepe’s desk? Painters use ladders to paint on high buildings and often use the help of the Pythagoras theorem to complete their work. Take for example a painter who has to paint a wall which is about 8 m high. The painter has to put the ladder 6 m away to avoid a rack in between. What will be the length of the ladder required by the painter to complete his work? You can calculate it using the Pythagoras theorem QUESTIONS ?

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# Pythagorean Theorem

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