Question

Construction of circumcircle of triangle when two sides and one base angle is given

Answer 1

Answer:

The perpendicular bisectors of the sides of a triangle are concurrent (they intersect in one common point). The point of concurrency of the perpendicular bisectors of the sides is called the circumcenter of the triangle. The point of concurrency is not necessarily inside the triangle. It may actually be in the triangle, on the triangle, or outside of the triangle.

Notice that the perpendicular bisectors of the sides of the triangles do not necessarily pass through the vertices of the triangles.

Step-by-step explanation:

In a right triangle, the perpendicular bisectors intersect ON the hypotenuse of the triangle.

Since the center of the circumscribed circle lies on the hypotenuse, the hypotenuse becomes the diameter of the circle.

Answer 2

Step-by-step explanation:

Answer:

The perpendicular bisectors of the sides of a triangle are concurrent (they intersect in one common point). The point of concurrency of the perpendicular bisectors of the sides is called the circumcenter of the triangle. The point of concurrency is not necessarily inside the triangle. It may actually be in the triangle, on the triangle, or outside of the triangle.

Notice that the perpendicular bisectors of the sides of the triangles do not necessarily pass through the vertices of the triangles.

Step-by-step explanation:

In a right triangle, the perpendicular bisectors intersect ON the hypotenuse of the triangle.

Since the center of the circumscribed circle lies on the hypotenuse, the hypotenuse becomes the diameter of the circle.