9.4 - Pythagorean Theorem 9.4 آ­ The Pythagorean Theorem PYTHAGOREAN THEOREM: If a triangle is a...

9.4 - Pythagorean Theorem 9.4 آ­ The Pythagorean Theorem PYTHAGOREAN THEOREM: If a triangle is a right page 1
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Transcript of 9.4 - Pythagorean Theorem 9.4 آ­ The Pythagorean Theorem PYTHAGOREAN THEOREM: If a triangle is a...

  • 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

    c c2The 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

    https://www.youtube.com/watch?v=CAkMUdeB06o

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