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# Understand the problem

Let P be a regular 12 sided polygon. How many right triangles can be formed by the vertices of P?

# Tutorial Problems… try these before watching the video.

1. Show that a regular 12 sided polygon must be cyclic.

2. Show that hypotenuse of any right triangle, whose vertices are vertices of the above polygon, must be diameter of the circle (in which the polygon is inscribed)

You may send solutions to support@cheenta.com. Though we usually look into internal students work, we will try to give you some feedback.

# Connected Program at Cheenta

Math Olympiad is the greatest and most challenging academic contest for school students. Brilliant school students from over 100 countries participate in it every year.

Cheenta works with small groups of gifted students through an intense training program. It is a deeply personalized journey toward intellectual prowess and technical sophistication.

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