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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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.
anonymous
  • anonymous
that is what i have... i just want to make sure im right..
anonymous
  • anonymous
i love this i got it

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anonymous
  • anonymous
well a^2+b^2=c^2 so is that what you have as your first step
anonymous
  • anonymous
im guessing..the coding got messed up and idk what it is now XD
anonymous
  • anonymous
you used the distubitive propery i think
anonymous
  • anonymous
So do u think that is a correct proof to answer the question?
anonymous
  • anonymous
i'm guessing, probably
anonymous
  • anonymous
no do u know how to do the theroum
anonymous
  • anonymous
not at all
anonymous
  • anonymous
awwww ship
anonymous
  • anonymous
wanna learn
anonymous
  • anonymous
...i guess?
anonymous
  • anonymous
i just wanted to know if what i did was right or not..
anonymous
  • anonymous
XD
anonymous
  • anonymous
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
anonymous
  • anonymous
https://en.wikipedia.org/wiki/Pythagorean_theorem go to this site
anonymous
  • anonymous
So should i just change the top line to the "a^2+b^2=c^"??
anonymous
  • anonymous
then your answer will be all wrong
anonymous
  • anonymous
0-0 okay.. then help me re-do it?
anonymous
  • anonymous
ight
anonymous
  • anonymous
Awesome :D
anonymous
  • anonymous
@teagirl7630
anonymous
  • anonymous
so as you know a^2+b^2=C^2
anonymous
  • anonymous
okay, so that's how we begin?
anonymous
  • anonymous
yes
anonymous
  • anonymous
alright
anonymous
  • anonymous
What's next?
anonymous
  • anonymous
it A
anonymous
  • anonymous
then on your tiangle it shows all the and god for flam it love2hot2 and it will say what A, B or c is
anonymous
  • anonymous
ok
anonymous
  • anonymous
...huh?
anonymous
  • anonymous
gtg ill message you
anonymous
  • anonymous
.-. mmkay
anonymous
  • anonymous
yeah
ybarrap
  • ybarrap
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.
anonymous
  • anonymous
not really.. i think i just need the two colomn proof..but im not sure how to do it correctly.
ybarrap
  • ybarrap
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?
ybarrap
  • ybarrap
|dw:1437175582716:dw|