Use these 3 similar triangles to prove the Pythagorean Theorem.
(no, i didn’t write this one 😉 )
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Use these 3 similar triangles to prove the Pythagorean Theorem.
(no, i didn’t write this one 😉 )
Triangle ABD similar to triangle ABC : AB/AC = BD/BC = AD/AB which gives
AB^2 = AC * AD (1)
Triangle BCD similar to triangle ABC: BC/AC = BD/AB = DC/BC which gives
BC^2 = AC * DC (2)
Adding (1) and (2) you get AB^2 + BC^2 = AC (AD +DC) and AD + DC = AC. All done :).
Great stuff. I love this proof.