1)
Triangle has circumcenter If and find the circumradius of triangle
2)
Let , , and . What is the circumradius of
3)
is an isosceles right triangle where is the circumcenter of What is in degrees?
Since , we know that is a right triangle with hypotenuse by the converse of the Pythagorean Theorem. The circumcenter of a right triangle is the midpoint of its hypotenuse, so the circumradius is .
1) The circumcenter is where the perpendicular bisectors of of the sides of the triangle meet
So......the circumradius, R , can be found as
cos (30) = (1/2)AB / R ⇒ R = (1/2)AB / cos (30) =
5 / [√3 / 2 ] = 10 / √3 ≈ 5.77 units