Prove pythagorean theorem

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PROVE Pythagorean Theorem SMPK PENABUR GADING SERPONG 2012

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Transcript of Prove pythagorean theorem

Page 1: Prove pythagorean theorem

PROVE Pythagorean TheoremSMPK PENABUR GADING SERPONG 2012

Page 2: Prove pythagorean theorem

Prepare your tools, please !1) Origami paper2) Scissors3) Glue

PROVE Pythagorean Theorem

Page 3: Prove pythagorean theorem

PROVE PYTHAGOREAN THEOREM

Step 1Cut equally your origami paper into 2 rectangles

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PROVE Pythagorean Theorem Step 2Cut the rectangle into 2 right angle triangles

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PROVE Pythagorean TheoremNow, you have 4 right angle triangles. We will

form the triangle as follow!

a

b c

c

cc

ca - b

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PROVE Pythagorean TheoremArea of square =

4 ( area of triangle ) + area of small square

= 4 +

= 2bc + a2 – 2ab + b2

c2 = a2 + b2

c

cc

ca - b

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PYTHAGOREAN THEOREM

•c2 = a2 + b2 •a2 = c2 – b2

•b2 = c2 – a2

a

bc

Page 8: Prove pythagorean theorem

Thank you for your attention


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