9.4 - Pythagorean Theorem...

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9.4 Pythagorean Theorem EXPORT.notebook January 07, 2016 Mental Floss: Thurs. Jan 7 th 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 l egs is equal to the square of the length of the longest side (hypotenuse). a 2 +b 2 =c 2 Right Triangle a 2 b 2 a b c c 2 The sum of the areas of the two small squares (leg 2 + leg 2 ) equals the area of the large square (hypotenuse 2 ). 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

Transcript of 9.4 - Pythagorean Theorem...

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