MathDB
plane flew along a diamond-shaped route (II Soros Olympiad 1995-96 R1 10.6)

Source:

June 3, 2024
geometryalgebra

Problem Statement

The sports plane flew along a diamond-shaped route in windy weather. He flew through the first three sides of the rhombus in aa , bb and cc hours, respectively. How long did it take him to cover the fourth side of the diamond? (The speed of an aircraft is a vector equal to the sum of two vectors: the aircraft’s own speed and the wind speed. Wind speed is a constant vector. The aircraft’s own speed is a vector of constant length).