Construct a rectangle one of whose sides is 3 cm and the diagonal is of length 7 cm.
To construct a rectangle with one side 3 cm and diagonal 7 cm: Step 1: Draw base CD = 3 cm. Step 2: At point C, construct a perpendicular line. Step 3: With D as centre, draw a circle of radius 7 cm. Step 4: The intersection of the circle with the perpendicular line gives point B. Step 5: From B, draw a perpendicular to BC. Step 6: From D, draw a perpendicular to CD. Step 7: The intersection is point A. Rectangle ABCD has side CD = 3 cm and diagonal = 7 cm.
Explanation
This follows the same construction method. The diagonal must be longer than the side for the construction to be possible (which is true: 7 cm > 3 cm).
Solution Steps
Step 1: Draw CD = 3 cm.
Step 2: Construct perpendicular at C.
Step 3: Draw circle with centre D, radius 7 cm.
Step 4: Mark intersection B.
Step 5: Complete rectangle with perpendiculars.