Question

Construct a rhombus whose diagonals are 15 cm and 8 cm. Measure the length of its side. Also draw a rough sketch and write the steps of construction​

Answer 1

Expert Answer:

Steps of construction:

a)Draw AC = 8cm.

b)Draw perpendicular bisector XY of AC meeting AC at O.

c)From O cut off OD = ×6 cm = 3 cm along OX and OB = ×6 cm =3 cm along OY.

d)Join AB, BC, CD, and DA.

ABCD is the required rhombus.

Answer 2

Steps of construction:

• a) Draw AC = 8cm.

• b) Draw perpendicular bisector XY of AC meeting AC at O.

• c) From O cut off OD = 1/2 ×6 cm = 3 cm along OX and OB = 1/2 ×6 cm =3 cm along OY.

• d) Join AB, BC, CD, and DA.

ABCD is the required rhombus.