Chapter 14, Problem 31RP

To determine

To inscribe the square in the given rhombus.

Explanation of Solution

Given:

The circle.

Calculation:

Thesquare in the given rhombus can be inscribed as follows-

  

Draw a circle of a particular radius and then draw its diameter, from one of the end point of the diameter draw an arc on the circle with the length as the radius of the circle, use the new intersection point to draw another arc on the circle. Similarly draw more arcs till you reach the starting point. The points of intersection are the vertices of the hexagon. Join the points to obtain the square PQRS inscribed inside the rhombus ABCD.