Add to ORKGLet ABC be a triangle with an interior point P. Let AP, BP, and CP intersect BC, AC, and AB at A', B', and C', respectively. Let A'', B'', and C'' be the midpoints of AA', BB', and CC'. Let S' and S'' be the areas of A'B'C' and A''B''C''. Then S''=(1/4)*S'Componente Curricular::Ensino Médio::Matemátic
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 and P be an arbitrary point. Let A', B', and C' be symmetric to P with respect...
Let I and O be the incenter and circumcenter of a triangle. Let H be the orthocenter of the triangle...
Let ABC be a triangle. Let A', B', and C' be points on BC, AC, and AB, respectively. Let A'', B'', a...
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 a triangle and let A', B', and C' be symmetric to P with respect to the midpoints of BC, ...
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 and let A', B', and C' be the midpoints of BC, AC, and AB, respectively. Let A...
Let ABC be a triangle and let A', B', and C' be the midpoints of BC, AC, and AB, respectively. Let A...
Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B''...
Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B''...
Let ABC be a triangle and let the angle bisector at vertex C intersect the circumcircle at R and the...
Let ABC be a triangle and let the angle bisector at vertex C intersect the circumcircle at R and the...
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 and P be an arbitrary point. Let A', B', and C' be symmetric to P with respect...
Let I and O be the incenter and circumcenter of a triangle. Let H be the orthocenter of the triangle...
Let ABC be a triangle. Let A', B', and C' be points on BC, AC, and AB, respectively. Let A'', B'', a...
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 a triangle and let A', B', and C' be symmetric to P with respect to the midpoints of BC, ...
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 and let A', B', and C' be the midpoints of BC, AC, and AB, respectively. Let A...
Let ABC be a triangle and let A', B', and C' be the midpoints of BC, AC, and AB, respectively. Let A...
Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B''...
Let ABC be a triangle with excenters A', B', and C' opposite A, B, and C, respectively. Let A'', B''...
Let ABC be a triangle and let the angle bisector at vertex C intersect the circumcircle at R and the...
Let ABC be a triangle and let the angle bisector at vertex C intersect the circumcircle at R and the...
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 and P be an arbitrary point. Let A', B', and C' be symmetric to P with respect...
Let I and O be the incenter and circumcenter of a triangle. Let H be the orthocenter of the triangle...