Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Post on 25-Jun-2015

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Don't just just the formula; learn how the formula came to be! What better way to do that than by watching an animation that helps you visualize where the algebraic formula for finding the area of a trapezoid comes from?

Transcript of Visualizing the Area of a Trapezoid Formula - Deriving the Algebraic Formula

Visualizing the Area of a Trapezoid Formula

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Visualizing the Area of a Trapezoid Formula

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Triangle A Triangle B

A =

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2bhA =2

bhArea of Area ofTriangle A Triangle B

A =A =

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2bh

2bh

base

heig

ht

heig

ht

base

Area of Area ofTriangle A Triangle B

Area of

A =

Area ofTriangle A Triangle B

A =

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2bh

2bh

base

base

heig

ht

heig

ht

Area of

A =

Area ofTriangle A Triangle B

A =

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2bh

2bh

base

base

heig

ht

heig

ht

Area of

A =

Area ofTriangle A Triangle B

A =

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2bh

2bh

base

base

heig

ht

heig

htA

Area of

A =

Area ofTriangle A Triangle B

A =

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2bh

2h

base

base

heig

ht

heig

ht

a

a

Area of

A =

Area ofTriangle A Triangle B

A =

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2bh

2h

base

base

heig

ht

heig

ht

a

a

b

b

Area of

A =

Area ofTriangle A Triangle B

A =

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2bh

2h

base

base

heig

ht

heig

ht

a

a

b

b

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+2ha

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

A =

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2h

2h

h

aa

b

bArea of a Trapezoid Formula

+

2ha

2hb

A =

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2h

2ha b

Area of a Trapezoid Formula

+

2ha

2hb

A =

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2h

2ha b

Area of a Trapezoid Formula

+

2ha

2hb

A =

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2h

2ha b

Area of a Trapezoid Formula

+

2hb

2ha

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2ha b

Area of a Trapezoid Formula

+

A =

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2h

2ha b

Area of a Trapezoid Formula

+

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Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

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Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

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Area of a Trapezoid Formula

h

a

b

A = 2h

2ha b+

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Area of a Trapezoid Formula

h

a

b

A = 2hha b+

A =

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2hha b

Area of a Trapezoid Formula+

h

a

b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

h

a b

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hha b

Area of a Trapezoid Formula+

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

h

a

b

A =

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2hh a b

Area of a Trapezoid Formula+( )

h

a b

A =

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2hh a b

Area of a Trapezoid Formula+( )

h

a b

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2hh a b

Area of a Trapezoid Formula+( )

A =

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2h a b

Area of a Trapezoid Formula+( )

A =

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2h a b

Area of a Trapezoid Formula

+( )

A =

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2h a b

Area of a Trapezoid Formula

+( )

A = 2h

2ha b+ A = 2

hha b+

A =

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2h a b

Area of a Trapezoid Formula

+( )

A = 2h

2ha b+ A = 2

hha b+