Posted by **Cendrillion** on Thursday, August 19, 2010 at 5:42pm.

I am having a hard time determining what formula I need to solve the following: On a hexagonal window the height is 1.3m. Find the width.Do I use the pythagreom theorem (but I have only one known number) or do I use the formula 6(1/2as)? I'm confused. The book says the answer is 2.6/square root of 3 or 1.5m. How was this obtained?

- geometry -
**drwls**, Thursday, August 19, 2010 at 6:29pm
Draw a regular hexagon. It consists of six equilateral triangles. Each has a "height" of 0.65m (measured between two opposite sides). The "width" of the hexagon, measured between opposite corners, is 2R, where R is the radius of the circumscribed circle, which is 0.65/sin60 = 0.75056 m

Double that for the width: 1.5011 m

Round off to 1.5.

- geometry -
**Cendrillion**, Thursday, August 19, 2010 at 9:04pm
thank you. I knew the equilateral triangles played a part, but I was confused because only one measurement was given.

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