Orthocenter (or the intersection point of altitudes) has an interesting construction. Take three equal circles, and make them pass through one point H. Their other point of intersection creates a triangle ABC. Turns out, H is the orthocenter of ABC.

In this process, we all create an equilateral (but not necessarily equiangular) hexagon. Here is a three-part discussion of this problem:

Part 1

Part 2

Part 3

Part 4

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1 Comment

swastik pramanik on May 1, 2018 at 6:12 pm

Sir, I have already done upto the point where you ended the 3rd video but not able to go further.

Sir, I have already done upto the point where you ended the 3rd video but not able to go further.