Points X, Y, and Z are on the circumference of a circle with radius 2 such that <YXZ = 45 degrees and <XZY = 60 degrees. Find the area of triangle XYZ.

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- Dec 7th 2013, 06:22 PMorangeTriangle in a circle
Points X, Y, and Z are on the circumference of a circle with radius 2 such that <YXZ = 45 degrees and <XZY = 60 degrees. Find the area of triangle XYZ.

- Dec 7th 2013, 06:47 PMchiroRe: Triangle in a circle
Hey orange.

Hint: Draw a diagram and draw lines from the centre of the circle to the vertices of the triangle and use information regarding any new triangles you have formed (taking into account the value of the radius). - Dec 7th 2013, 11:10 PMjohngRe: Triangle in a circle
Hi,

The attachment shows the solution almost completely. However, don't expect such complete solutions in future unless you show what you have tried and where you are stuck.

Attachment 29872 - Dec 10th 2013, 08:12 AMorangeRe: Triangle in a circle
Thanks, johng! I did have a very complex solution figured out, but I kept missing essential details and getting lost.