- #1
youngstudent16
- 59
- 1
Homework Statement
http://i.imgur.com/lnk7e0D.png CDE is an equilateral triangle inside a circle, with side length 16. FGH is also an equilateral triangle and F is the mid point of DE. Find the length of the side FGH. Should be expressed as Asqrt(B)-C. Where A B and C are positive integers [/B]
Homework Equations
The radius of the circle and properties of the equilateral triangle
The Attempt at a Solution
ThetaBig = ThetaSmall = 60
SideBig * sin(60deg)+SideSmall * sin(60deg) = 2 * radius
SideSmall = (2 * radius - SideBig * sin(60deg)) / sin(60deg)
SideSmall = 2 * radius / sin(60deg) - SideBig
This gave me fraction answer of 64/3 - 16 not in the correct form