Let Triangle XYZ be circumscribed on Circle R, and let XS = 7, SY = 23, and YZ = 79. Select the best answer for each calculation. Calculate XZ. This is the diagram/picture: http://assets.openstudy.com/updates/attachments/4e2cff8b0b8b3d38d3ba970f-32455s-1311571869367-triangles.gif

Question

Let Triangle XYZ  be circumscribed on Circle R, and let XS = 7, SY = 23, and YZ = 79. Select the best answer for each calculation. Calculate XZ. This is the diagram/picture: http://assets.openstudy.com/updates/attachments/4e2cff8b0b8b3d38d3ba970f-32455s-1311571869367-triangles.gif

anonymous · Answer

Please someone help me. I am so confused. This is properties of circles in geometry. Thank you.

anonymous · Answer

Join the points R & Y, R & U, R & X, R & S, R & T, R & Z. The property you need to use is that all tangents are perpendicular to the radius at the point of contact. 
Also RX =RU=RT = (radius of the circle). 
So each of the triangles inside XYZ is a right triangle, use Pythagoras theorem to solve for lengths of their sides.

anonymous · Answer

Thank you, Akitav! It is much appreciated. I am new to this site- am I supposed to give you "best response"? :)

anonymous · Answer

You are welcome :)