anonymous
  • anonymous
PLEASE HELP WILL METAL
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hyroko
  • Hyroko
what's the question?
anonymous
  • anonymous
Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse. Be sure to create and name the appropriate geometric figures.
Hyroko
  • Hyroko
△ADB∼△ABC∼△BDC therefore the sides of the triangles are proportional, in particular ADAB=ABAC ACBC=BCDC By algebra we have the following equations AD⋅AC=AB⋅ABAC⋅DC=BC⋅BC this is the same as AD⋅AC=AB2AC⋅DC=BC2 "Equals added to equals are equal" allows us to add the equations AD⋅AC+AC⋅DC=AB2+BC2 By distributive property AC(AD+DC)=AB2+BC2 but by construction AD+DC=AC. Substituting we have AC⋅AC=AB2+BC2 this is equivalent to AB2+BC2=AC2

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anonymous
  • anonymous
Could you help me write this in a two-colum proof
Hyroko
  • Hyroko
1 Attachment
Hyroko
  • Hyroko
That should help
anonymous
  • anonymous
@Hyroko can i show you what i put

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