Question

Consider a rhombus of side 10 units whose diagonals are coordinate axis. If an angle is 120°, Find the coordinates of the other vertices.

Answer 1

A rhombus is formed by joining two equilateral triangles. Using the right triangle of 30°, 60°, 90°, find the diagonals as 10,10√3 units. 

Hence the coordinates of the vertices of the rhombus are(5, 0) (-5, 0) (0,5√3), (0,-5√3).