We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

Does anyone have any idea about geometric proof? I would like a definition and equation example. Please and thank you! smiley By the way, I've never seen the concept before, so I would like an in-depth disscussion on the subject.angry

 Aug 31, 2018
edited by OwenT154  Aug 31, 2018

Here's a geometric proof of the Pythagorean Theorem using similar triangles :




Let  ABC  be a righ triangle with a right angle at C

And CD is an altitude  with right angles ADC  and BDC


We want to prove that  AC^2  + BC^2 =  AB^2


So...looking at triangles ABC  and ADC

Angle A  = angle A

Angle ACB  = angle CDA

So...by AA  congruency.....Δ ACB ~Δ ADC  →  AC /AB  = AD/ AC  →  AC^2  = AB * AD


Similary  Δ ACB ~ ΔCDB → AB / BC = BC / DB  →  BC^2  = AB * DB




AC^2  + BC^2  = AB* AD   + AB * DB

AC^2 + BC^2  = AB ( AD + DB)

AC^2 + BC^2  = AB (AB)

AC^2 + BC^2  = AB^2



cool cool cool

 Aug 31, 2018

26 Online Users