Mathematics

Mathematics

Problem

In

\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

. a. (i) Name the type of quadrilateral

BDEP

. b. (ii) Find the perimeter of

BDEP

.

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