Draw a Rhombus Klmn Such that Its Side is 4 Cm and M∠K = 75° . - Mathematics

QUESTION

Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75° .

SOLUTION

Steps of Construction:

Step 1: Draw KL = 4 cm.

Step 2: Draw ∠LKX = 75º.

Step 3: With K as centre and radius 4 cm, draw an arc cutting the ray KX at N.

Step 4: With N as centre and radius 4 cm, draw an arc.

Step 5: With L as centre and radius 4 cm, draw an arc cutting the previous arc at M.

Step 6: Join LM and NM.

​Here, KLMN is the required rhombus.