Geometry describing <a href="https://en.wikipedia.org/wiki/Viviani%27s_theorem" class="extiw" title="w:Viviani's theorem">Viviani's theorem</a>. <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \bigtriangleup }"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>△<!-- △ --></mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \bigtriangleup }</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28a0cf1edbbf9956e17cc233dba05842b5ea1291" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:2.066ex; height:2.176ex;" alt="\bigtriangleup "></span>ABC is an equilateral triangle and P is any random point within the triangle at distances of <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle s,\,t,\,u}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>s</mi><mo>,</mo><mspace width="thinmathspace"></mspace><mi>t</mi><mo>,</mo><mspace width="thinmathspace"></mspace><mi>u</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle s,\,t,\,u}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/472ad2dfb878020a6ab37ff0bbc0b1216d94b25a" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:6.102ex; height:2.343ex;" alt="s,\,t,\,u"></span> from the three sides AB, BC and CA respectively.
<a href="//commons.wikimedia.org/wiki/User:Krishnavedala" title="User:Krishnavedala">Krishnavedala</a>
<span class="int-own-work" lang="en">Own work</span>