Question

Construct a rhombus ABCD, given AB = 3.8cm and ∠A = 60°. Measure AC.

Answer 1

In rhombus length of all the sides is equal.
Steps of Construction:
1) Draw a line segment AB = 7.8cm.
2) At A, draw a ray making an angle of 60° with AB.
3) With A as centre and radius 3.8cm cut an arc on the ray making an angle of 60° with Ab. Mark the point as D.
4) With B and D as centres and radii 3.8cm mark two arcs cutting each other at point C.
5) Join DC and BC.
6) ABCD is the required rhombus.
7) On measuring AC = 6.5cm.