Question

Construct a parallelogram ABCD, where AB = 6.0 cm, AD = 5.0 cm and $\angle A={45}^{\circ }$.

Answer 1

(i) Construct line segment AB of length $6$ cm.
(ii) At point A, construct angle of ${45}^0$ with the help of compass and name it as $\angle BAL$
(iii) Taking $5$ cm as radius, mark an arc on the ray AL and name the point of intersection as D.
(iv) From point B, draw an arc measuring $5cm$
(v) Taking $6$ cm as radius, draw an arc from D and name the point of intersection of the arc drawn in point iv, with this arc as C.
(vi) Join CD.
ABCD is the required parallelogram.