SOLUTION: draw a large circle and a point k on not on the circle ,using k as one vertex ,construct a triangle that is circumscribe about a circle.?

Question 933144: draw a large circle and a point k on not on the circle ,using k as one vertex ,construct a triangle that is circumscribe about a circle.?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

1.
for constructions use only compass, straightedge (i.e. ruler) and a pencil
2. draw a large circle and a point on not on the circle
since you need to construct a triangle that is circumscribe a , means all three sides will touch a circle in one point; so, the sides of a triangle are to a circle
and, use the fact that a tangent to a circle is perpendicular to the radius at the point of contact
so, first create a radius of the circle, then construct a perpendicular to the radius at the given point
how to construct it, step-by-step description is here:
http://www.mathopenref.com/printtangent.html

now, you got one perpendicular line, and you need second and third one:
choose another two points on a circle, repeat all procedure and construct second and third tangent, mark points of their intersection as, for example, , and and you will have a triangle and the given point will be on one of its sides

find the point where both tangents intersect; that will be
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