In , , and . Points and are the midpoints of and respectively. The lines through and…

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

Problem

\triangle ABC

AB = 12\,\text{cm}

AC = 16\,\text{cm}

and

BC = 20\,\text{cm}

. Points

D

and

E

are the midpoints of

AB

and

AC

respectively. The lines through

D

and

E

drawn parallel to

AC

and

AB

meet

BC

at the same point

P

. (i) Name the type of quadrilateral

BDEP

. (ii) Find the perimeter of

BDEP