Question

Construct a Rhombus PAIR,given that PA =6 cm and angle A =110 diagree

Answer 1

Answer:

Since in a rhombus, all sides are equal, so PA = AI = IR = RP = 6 cm

Also, rhombus is a parallelogram

so, adjacent angle, ∠I = 180° – 110° = 70°

Steps of construction

Step I. Draw AI = 6 cm

Step II. Draw ray such that ∠IAX = 110° and draw such that ∠AIY = 70°.

Step III. With A and I as centres and radius 6 cm draw arcs intersecting AX and IY at P and R respectively.

Step IV. Join PR.

Thus, PAIR is the required rhombus.