ACT Math question!

<p>So… I just wanted to know if there was a proof of the 1/x + 1/y = 1/z equation, where
x and y were the heights of two different triangles, and z was the height of the triangle made by the overlapping parts of the two original triangles.</p>

<p>I dunno if that was very clear, but basically, you have two triangles, with the hypotenuses facing each other, which create another triangle in the middle by the intersecting lines of the original triangle.
Does anyone know what I’m talking about?</p>

<p>I’m just kinda interested in how that equation was derived.</p>

<p>I’ve ever seen that equation ever used on any ACT math i’ve ever taken.</p>

<p>Ahhh.
Yeah, it was on the December ACT of 2009.</p>