In parallelogram (ABCD )

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In parallelogram

ABCD

, points

P

and

Q

are the midpoints of sides

AB

and

AD

respectively. Given that

BD = 18\,\text{cm}

AB = 14\,\text{cm}

and

AD = 10\,\text{cm}

: (i) Show that

PQ \parallel BD

. (ii) Find the length of

PQ

. (iii) Determine the ratio of the area of

\triangle APQ

to the area of

\triangle ABD