Math Is Fun Forum

tony123

Member

Registered: 2007-08-03

Posts: 229

A convex hexagon

A convex hexagon with sides 3x, 3x, 3x, 5x, 5x and 5x is inscribed in a unit circle. Find
the value of x.

Dragonshade

Member

Registered: 2008-01-16

Posts: 147

Re: A convex hexagon

connect the vertexes to the center of the circle, 3x+3x+3x+5x+5x+5x= 24x , means divided 360 degress into 24  , then the corresponding angle to each side would be 3x360/24, 3x360/24, 3x360/24 , 5x360/24 , 5x360/24, then use trionometry to solve it.

Last edited by Dragonshade (2008-04-25 03:25:41)