A polygon is drawn around a circle of radius
The point
Let
The diagonals of the quadrilateral
a) Prove that if in the triangle the median coincides with the height then this triangle is an isosceles triangle.
b) Prove that if in a triangle the bisector coincides with the height then this triangle is an isosceles triangle.
Prove that the bisectors of a triangle intersect at one point.
A circle divides each side of a triangle into three equal parts. Prove that this triangle is regular.
Prove that a convex quadrilateral
Prove that a convex quadrilateral
a) Prove that the axes of symmetry of a regular polygon intersect at one point.
b) Prove that the regular