MathDB
altitude of hypotenuse in a right triangle, computational

Source: 2005 Estonia National Olympiad Final Round grade 9 p1

April 13, 2020
geometryright triangleareas

Problem Statement

The height drawn on the hypotenuse of a right triangle divides the hypotenuse into two sections with a length ratio of 9:19: 1 and two triangles of the starting triangle with a difference of areas of 4848 cm2^2. Find the original triangle sidelengths.