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anonymous

  • one year ago

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.

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  1. anonymous
    • one year ago
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    by AA similarity postulate: △ADB∼△BDC∼△ABC therefore the sides of the triangles are proportional: AD/AB = AB/AC BC/AC = DC/BC By cross multiplication we have the following equations: AD * AC = AB * AB AC * DC = BC * BC Which is the same as: AD * DC = BD^2 AD * AC = AB^2 AC * DC = BD^2 Add the two equations: AD * AC AC * DC = AB^2 BC^2 By the distributive property: AC(AD DC) = AB^2 BC^2 but by construction AD DC = AC...so we have: AC * AC = AB^2 BC^2 Which is equivalent to: AB^2 BC^2 = AC^2 Which is what we want to prove.

  2. anonymous
    • one year ago
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    that is what i have... i just want to make sure im right..

  3. anonymous
    • one year ago
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    i love this i got it

  4. anonymous
    • one year ago
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    well a^2+b^2=c^2 so is that what you have as your first step

  5. anonymous
    • one year ago
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    im guessing..the coding got messed up and idk what it is now XD

  6. anonymous
    • one year ago
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    you used the distubitive propery i think

  7. anonymous
    • one year ago
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    So do u think that is a correct proof to answer the question?

  8. anonymous
    • one year ago
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    i'm guessing, probably

  9. anonymous
    • one year ago
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    no do u know how to do the theroum

  10. anonymous
    • one year ago
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    not at all

  11. anonymous
    • one year ago
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    awwww ship

  12. anonymous
    • one year ago
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    wanna learn

  13. anonymous
    • one year ago
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    ...i guess?

  14. anonymous
    • one year ago
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    i just wanted to know if what i did was right or not..

  15. anonymous
    • one year ago
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    XD

  16. anonymous
    • one year ago
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    well not u did the distributive property the Pythagorean Theorem is a^2+b^2=c^2 ill give u the site to understand it better

  17. anonymous
    • one year ago
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    https://en.wikipedia.org/wiki/Pythagorean_theorem go to this site

  18. anonymous
    • one year ago
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    So should i just change the top line to the "a^2+b^2=c^"??

  19. anonymous
    • one year ago
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    then your answer will be all wrong

  20. anonymous
    • one year ago
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    0-0 okay.. then help me re-do it?

  21. anonymous
    • one year ago
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    ight

  22. anonymous
    • one year ago
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    Awesome :D

  23. anonymous
    • one year ago
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    @teagirl7630

  24. anonymous
    • one year ago
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    so as you know a^2+b^2=C^2

  25. anonymous
    • one year ago
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    okay, so that's how we begin?

  26. anonymous
    • one year ago
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    yes

  27. anonymous
    • one year ago
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    alright

  28. anonymous
    • one year ago
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    What's next?

  29. anonymous
    • one year ago
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    it A

  30. anonymous
    • one year ago
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    then on your tiangle it shows all the and god for flam it love2hot2 and it will say what A, B or c is

  31. anonymous
    • one year ago
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    ok

  32. anonymous
    • one year ago
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    ...huh?

  33. anonymous
    • one year ago
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    gtg ill message you

  34. anonymous
    • one year ago
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    .-. mmkay

  35. anonymous
    • one year ago
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    yeah

  36. ybarrap
    • one year ago
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    I'm doing this because I'm not sure how to read what you wrote, so we are starting from scratch. And if you know what to do next. Just do it.

  37. anonymous
    • one year ago
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    not really.. i think i just need the two colomn proof..but im not sure how to do it correctly.

  38. ybarrap
    • one year ago
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    Follow my steps here in the order I show, referring to the diagram. |dw:1437175072230:dw| We use similarity of 3 triangles to prove. Does this make sense?