Is it possible to have a triangle with the given vertices

Thanks alot and God bless! How are we going to solve this one? Is it addition? Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Notify me of follow-up comments by email. Notify me of new posts by email. This site uses Akismet to reduce spam.

Learn how your comment data is processed. Follow this blog and be one step ahead. We can find Area of triangle using formula base height if we know the length of base and height of triangle. Comments This formula only works for the 1st quadrant of the coordinate system. Another method for calculating the area of a triangle uses Heron's formula.

Unlike the previous equations, Heron's formula does not require an arbitrary choice of a side as a base, or a vertex as an origin. However, it does require that the lengths of the three sides are known. The median of a triangle is defined as the length of a line segment that extends from a vertex of the triangle to the midpoint of the opposing side. A triangle can have three medians, all of which will intersect at the centroid the arithmetic mean position of all the points in the triangle of the triangle.

Refer to the figure provided below for clarification. The medians of the triangle are represented by the line segments m a , m b , and m c. The length of each median can be calculated as follows:. The inradius is the radius of the largest circle that will fit inside the given polygon, in this case, a triangle.

The inradius is perpendicular to each side of the polygon. In a triangle, the inradius can be determined by constructing two angle bisectors to determine the incenter of the triangle. The inradius is the perpendicular distance between the incenter and one of the sides of the triangle. Any side of the triangle can be used as long as the perpendicular distance between the side and the incenter is determined, since the incenter, by definition, is equidistant from each side of the triangle.

For the purposes of this calculator, the inradius is calculated using the area Area and semiperimeter s of the triangle along with the following formulas:. The circumradius is defined as the radius of a circle that passes through all the vertices of a polygon, in this case, a triangle. The center of this circle, where all the perpendicular bisectors of each side of the triangle meet, is the circumcenter of the triangle, and is the point from which the circumradius is measured.

The circumcenter of the triangle does not necessarily have to be within the triangle. It is worth noting that all triangles have a circumcircle circle that passes through each vertex , and therefore a circumradius.

Although side a and angle A are being used, any of the sides and their respective opposite angles can be used in the formula. Financial Fitness and Health Math Other.