In parallelogram

MATHEMATICS · Subjective · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram

ABCD

, diagonal

AC

is drawn. It is given that

AB = 5\,\text{cm}

BC = 4\,\text{cm}

and

\angle ABC = 60^{\circ}

. (i) Prove that

\triangle ABC \cong \triangle CDA

. (ii) Find the measure of

\angle CDA

. (iii) Determine the length of

CD

. (iv) Calculate the perimeter of the parallelogram

ABCD