Let , and be the vertices of triangle If is the centroid of the triangle, what are the coordinates of and the area of triangle
is the circumcenter of . If what is the measure of ?Point
has incenter . Let the incircle be tangential to sides and at points and respectively. If the lengths of and are and respectively, what is the length of ?Triangle
is a vertex of triangle and is its circumcenter. and are the midpoints of sides and respectively. If the orthocenter of triangle is then what is the equation of line
is an acute angle triangle with points and on and , respectively, such that and are altitudes. and intersect at . If and , what is the measure of (in degrees)?
Details and assumptions:
- is also known as the orthocenter of the triangle, which is the intersection point of all 3 altitudes.