Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel to BC, AC, and AB, respectively, so that A'', B' are on AB, B'', C' are on BC, and C'', A' are on CA . Let R be the circumradius of ABC and R_A, R_B, and R_C be the circumradii of AA'A'', BB'B'', and CC'C'', respectively. Then R= R_A+R_B+R_CComponente Curricular::Ensino Médio::MatemáticaComponente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemátic
Let ABC be a triangle and let P be a point. Then the circumcircles of the medial triangles of ABC, P...
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to ...
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. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Let ABC be a triangle with inradius r. Let r_A, r_B, and r_C be the exradii of the excircles opposit...
Let ABC be a triangle with inradius r. Let r_A, r_B, and r_C be the exradii of the excircles opposit...
If ABC is a triangle with side lengths a, b, and c, altitudes α, β, and γ, and circumradius R, then...
If ABC is a triangle with side lengths a, b, and c, altitudes α, β, and γ, and circumradius R, then...
Let ABC be a triangle and P be an interior point. Draw lines through P parallel to the sides of ABC ...
Let ABC be a triangle and P be an interior point. Draw lines through P parallel to the sides of ABC ...
Let ABC be a triangle with area T and let r be its inradius. Let r_A, r_B, and r_C be the exradii of...
Let ABC be a triangle with area T and let r be its inradius. Let r_A, r_B, and r_C be the exradii of...
Let ABC be a triangle and let the incircle intersect BC, CA, and AB at A', B', and C', respectively....
Let ABC be a triangle and let P be a point. Then the circumcircles of the medial triangles of ABC, P...
Let ABC be a triangle and let P be a point. Then the circumcircles of the medial triangles of ABC, P...
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to ...
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. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Let ABC be a triangle. Let A'A'', B'B'', and C'C'' be tangents to the incircle of ABC and parallel t...
Let ABC be a triangle with inradius r. Let r_A, r_B, and r_C be the exradii of the excircles opposit...
Let ABC be a triangle with inradius r. Let r_A, r_B, and r_C be the exradii of the excircles opposit...
If ABC is a triangle with side lengths a, b, and c, altitudes α, β, and γ, and circumradius R, then...
If ABC is a triangle with side lengths a, b, and c, altitudes α, β, and γ, and circumradius R, then...
Let ABC be a triangle and P be an interior point. Draw lines through P parallel to the sides of ABC ...
Let ABC be a triangle and P be an interior point. Draw lines through P parallel to the sides of ABC ...
Let ABC be a triangle with area T and let r be its inradius. Let r_A, r_B, and r_C be the exradii of...
Let ABC be a triangle with area T and let r be its inradius. Let r_A, r_B, and r_C be the exradii of...
Let ABC be a triangle and let the incircle intersect BC, CA, and AB at A', B', and C', respectively....
Let ABC be a triangle and let P be a point. Then the circumcircles of the medial triangles of ABC, P...
Let ABC be a triangle and let P be a point. Then the circumcircles of the medial triangles of ABC, P...
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to ...
Let ABC be an acute triangle with altitudes AA', BB', and CC'. The sum of the altitudes is equal to ...