word2
  • word2
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. (GEOMETRY)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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word2
  • word2
check my work please
word2
  • word2
By Angle Angle Similarity Postulate Triangle ADB is congruent to triangle ABC is congruent to triangle BDC The side of the triangle are proportional , AD/AB = AB/AC AC/BC = BC/DC 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
word2
  • word2
@malcolmmcswain @just_one_last_goodbye @sleepyjess @superdavesuper

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malcolmmcswain
  • malcolmmcswain
I think that's right. No mistakes I can see. I might have missed one, though.
malcolmmcswain
  • malcolmmcswain
You're missing some plus signs... is that just a typo? Example: "By the distributive property: AC(AD DC) = AB^2 BC^2" should be "By the distributive property: AC(AD + DC) = AB^2 + BC^2"
word2
  • word2
oopd , i didn't notice that . thank you.

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