9.4 - pythagorean theorem export.notebook
TRANSCRIPT
9.4 Pythagorean Theorem EXPORT.notebook January 07, 2016
Mental Floss: Thurs. Jan 7th
A(3,3)
B(4,0)C(1,1)
D(1,3)
a.) Find the slope of the line that has the biggest slope and passes through 2 of the points to the left, A,B,C, or D.
b.) Find the slope of the line that has a slope closest to zero and passes through of the points to the left, A,B, C, or D.
Who is Pythagoras?9.4 The Pythagorean Theorem
PYTHAGOREAN THEOREM:If a triangle is a right triangle, then the sum of the squares of the lengths of the legs is equal to the square of the length of the longest side (hypotenuse).
a2+b2=c2
Right Triangle
a2
b2
a
b
cc2The sum of the areas of the two small
squares (leg2 + leg2) equals the area of the large square (hypotenuse2).
OR
a
b
c
• a and b legs (shorter sides)• c hypotenuse (longest side)
Examples: Use the Pythagorean Theorem to find the lengths of the missing sides.
4
3?
1.)
5
12
?
2.)
12
?15
3.)
6
4
?
4.)
Search for "Pythagorean Theorem Water Demo"
https://www.youtube.com/watch?v=CAkMUdeB06o