Mathematics

Mathematics

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}

: a. (i) Show that

PQ \parallel BD

. b. (ii) Find the length of

PQ

. c. (iii) Determine the ratio of the area of

\triangle APQ

to the area of

\triangle ABD

.

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