The diagonals of a trapezoid are perpendicular, and its altitude is equal to the medial line. Prove that this trapezoid is isosceles
Problem
Source: Sharygin 2011 Final 8.1
Tags: geometry, trapezoid, diagonals, perpendicular, isosceles
Source: Sharygin 2011 Final 8.1
Tags: geometry, trapezoid, diagonals, perpendicular, isosceles
The diagonals of a trapezoid are perpendicular, and its altitude is equal to the medial line. Prove that this trapezoid is isosceles