The figure shows a circle circumscribed around a triangle. what is constructed first when creating the circle?
a. perpendicular segments to the vertices of the triangle
b. perpendicular bisectors of the sides of the triangle
c. angle bisectors of each angle of the triangle
d. the incenter of the triangle

Option B is right

Step-by-step explanation:

We have in a triangle there are some properties inherent.

One is the perpendicular bisectors of all sides are concurrent.

These three concur at a point called the circumcentre of the triangle.

When we draw perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistance from A and B.

When we take the point of intersection of perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C

In short this is equidistant from all 3 vertices and hence is centre of circumcicle of triangle ABC

whats the question?

step-by-step explanation:

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.