Add to ORKGLet ABC be an acute triangle with area T. Extend the altitudes of ABC to meet the circumcircle at A', B', and C' corresponding to A, B, and C, respectively. Let the hexagon AC'BA'CB' have area H. Then H=2TComponente Curricular::Ensino Médio::MatemáticaComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Let ABC be a triangle with circumcenter O. Let A'', B'', and C'' be the reflections of O in the alti...
AreaThe black central triangle with one angle equal to 60° is called a eutrigon. The areas of equila...
This article provides a demonstration of the formula for calculating the area of a triangle (base ti...
Let ABC be an acute triangle with area T. Extend the altitudes of ABC to meet the circumcircle at A'...
Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B''...
If ABC is a triangle with side lengths a, b, and c, altitudes α, β, and γ, and circumradius R, then...
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to ...
Let ABC be a triangle and let the angle bisector at vertex C intersect the circumcircle at R and the...
noneThe area of a triangle is equal to half the area of a rectangle with the same base and altitudeC...
Let ABC be a triangle and let the bisectors of the angles at A, B, C meet the opposite sides at A', ...
Let ABC be a triangle. Let the feet of the altitudes from A, B, and C be A', B' and C', respectively...
Let ABC be a triangle with circumcenter O and let E be the excenter of the excircle opposite A. Let ...
Let ABC be a triangle with circumradius R, circumcenter O, and incenter I. Let A', B', and C' be the...
Presents a geometric problem with concentric circles. Your student must find a way to calculate the ...
If a triangle has inradius r and altitudes α, β, and γ, then 1/r= 1/α + 1/β +1/γComponente Curricula...
Let ABC be a triangle with circumcenter O. Let A'', B'', and C'' be the reflections of O in the alti...
AreaThe black central triangle with one angle equal to 60° is called a eutrigon. The areas of equila...
This article provides a demonstration of the formula for calculating the area of a triangle (base ti...
Let ABC be an acute triangle with area T. Extend the altitudes of ABC to meet the circumcircle at A'...
Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B''...
If ABC is a triangle with side lengths a, b, and c, altitudes α, β, and γ, and circumradius R, then...
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to ...
Let ABC be a triangle and let the angle bisector at vertex C intersect the circumcircle at R and the...
noneThe area of a triangle is equal to half the area of a rectangle with the same base and altitudeC...
Let ABC be a triangle and let the bisectors of the angles at A, B, C meet the opposite sides at A', ...
Let ABC be a triangle. Let the feet of the altitudes from A, B, and C be A', B' and C', respectively...
Let ABC be a triangle with circumcenter O and let E be the excenter of the excircle opposite A. Let ...
Let ABC be a triangle with circumradius R, circumcenter O, and incenter I. Let A', B', and C' be the...
Presents a geometric problem with concentric circles. Your student must find a way to calculate the ...
If a triangle has inradius r and altitudes α, β, and γ, then 1/r= 1/α + 1/β +1/γComponente Curricula...
Let ABC be a triangle with circumcenter O. Let A'', B'', and C'' be the reflections of O in the alti...
AreaThe black central triangle with one angle equal to 60° is called a eutrigon. The areas of equila...
This article provides a demonstration of the formula for calculating the area of a triangle (base ti...