Table of Contents

## What is the circumcenter of triangle ABC?

1. Triangle ABC has circumcenter O. If AB=10 and Area of OAB=30 find the circumradius of triangle ABC But…. because the altitude is perpendicular to AB, the altitude will bisect chord AB 2. Triangle ABC is an isosceles right triangle where Angle A=90 degrees. O is the circumcenter of Triangle ABC.

**What is the measure of angle a in triangle ABC?**

Triangle ABC is an isosceles right triangle where Angle A=90 degrees. O is the circumcenter of Triangle ABC. What is Angle AOB in degrees?

### What is the angle between B and D on line AC?

As shown in the diagram, points B and D are on different sides of line AC. We know that Angle B= 2*Angle D=60 Degrees and that AC=4sqrt (3) . What is the distance between the circumcenters of Triangle ABC and Triangle ADC?

**How do you find the circumradius of a triangle?**

1. Triangle ABC has circumcenter O. If AB=10 and Area of OAB=30 find the circumradius of triangle ABC 2. Triangle ABC is an isosceles right triangle where Angle A=90 degrees. O is the circumcenter of Triangle ABC. What is Angle AOB in degrees? 3. In the diagram below, O is the circumcenter of Triangle ABC.

#### What is the distance between O and AB in triangle ABC?

4. Point O is the circumcenter of Triangle ABC. The distance between O and Line AC is 7, and the distance between O and Line AB is 15. If AC=48, what is AB?

**What is the circumcenter of an obtuse triangle?**

The circumcenter of an obtuse-angled triangle is outside the triangle. For a right-angled triangle, the circumcenter lies on the hypotenuse. Put your understanding of this concept to test by answering a few MCQs.

## What type of triangle is traingle ABC?

(1) Traingle ABC must be an isosceles triangle. (2) Traingle ABC must be an equilateral triangle. (3) Traingle ABC must be a right triangle. (4) Traingle ABC must be an isosceles right triangle. Enter your answer as a comma-separated list. If there is no correct option, write “none”.