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Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.

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41 answers

  1. Figure B proves the Pythagorean Theorem.
    As you may have noticed, the lengths given for both figures are already perfect squares. All you have to do is add the lengths of the legs to see if they equal the length of the hypotenuse/diagonal.
    Figure A: 9 + 36 = 46... not 64
    Figure B: 25 + 144 = 169... correct
    Figure B proves the Pythagorean Theorem.
    Pythagorean Theorem Formula: a^2 + b^2 = c^2
    (The numbers are already squared, so just plug them in for a, b, and c, and see if it is a true statement.)

    Hope this helps and I hope it made sense.

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  2. OMG WHAT THE ANSWER!!!!!!!!!!!!!!!!!!!!!!

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  3. sorry i don't see a picture. But, I'll explain what should be seen. Make a right triangle. From the angle <B, where B is 90 degrees, draw an altitude down to CA. Call that point D. We see that ABC and BCD are similar triangles. BC/CD=AC/BC, so BC^2=AC*CD. Likewise, ADB is similar to ABC, so we get AB/AD=AC/AB, so AB^2=AD*AC.So we add these equations together for BC^2 and AB^2, to get AC*CD + AD*AC = AC(CD+AD) = AC^2 Thus, a^2 + b^2 = c^2 in a right triangle.

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  4. princess, you rock

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  5. thank you so much princess

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  6. pay day 2 if youre so smart why are you here?

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  7. yeah payday! also, this is 8th grade math so LIIIIIAAAAARRRR

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  8. This chat is so cursed

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  9. Pay day 2 stop acting like you know everything. It's clearly a typo. If you were half as smart as everyone on here put together you would have known that ;)

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  10. You are literally just talking to yourself

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  11. Thank you princess

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  12. Thanks princess❤️

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  13. I don't see how the Pythagorean Thearom while help us in life? I'm not just going to go outside and see a triangle and just be like " OkAy!~ nOw LeT MeE fIgUrE oUt ThE PhYtHaGoReAN tHeARoM tO THis"

    LIKE NO dat is -

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  14. BTW, A would be at the top if the right triangle were standing on its shorter base. C would be on the other side on the bottom right. B would be on the right angle

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  15. i knew it was b just didnt know why, thx

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  16. u know 9 + 36 is 45 not 46

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  17. Is he right

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  18. thanks princess!!

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  19. Guys Gage is wrong don't listen to him

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  20. chienne

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