Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm respectively.

Question

KnowledgeBoat · Accepted Answer

Steps of construction: 1. Draw a line segment PR = 8 cm. 2. Draw its perpendicular bisector XY intersecting it at O. 3. From XY, cut off OQ = OS = = 3 cm each. 4. Join PQ, QR, RS and SP. Then PQRS is the required rhombus.

Mathematics

Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm respectively.

Rectilinear Figures

Related Questions

Using ruler and compasses only construct a rhombus ABCD, given that AB = 5 cm, AC = 6 cm. Measure ∠BAD.

Using ruler and compasses only, construct rhombus ABCD with sides of length 4 cm and diagonal AC of length 5 cm. Measure ∠ABC.

Construct a rhombus ABCD of side 4.6 cm and ∠BCD = 135°, by using ruler and compasses only.

Construct a trapezium in which AB || CD, AB = 4.6 cm, ∠ABC = 90°, ∠DAB = 120° and the distance between parallel sides is 2.9 cm.