4.4: the pythagorean theorem and distance formula
Post on 11-Jan-2016
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4.4: THE PYTHAGOREAN
THEOREM AND
DISTANCE FORMULA
Two sides that form the right angle are called the LEGS
The side opposite the right angle is called the HYPOTENUSE
RIGHT TRIANGLES
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
PYTHAGOREAN THEOREM
EXAMPLE 1
Find the length of the missing side.
EXAMPLE 2
YOU TRY IT…
Examples:3,4,58,15,175,12,13
PYTHAGOREAN TRIPLES
EXAMPLE 3
The Pythagorean Theorem can be used to develop the distance formula, which gives the distance between any 2 points on the coordinate plane
DISTANCE FORMULA
EXAMPLE 4
YOU TRY IT…
Text p. 196 #s 17-22 all
Text p. 197 #s 30-32 all
HOMEWORK
Text p. 196 # 26
HAND IN BEFORE YOU LEAVE…
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