Question

In ΔABCD, P, Q and R are the midpoint of AB, BC, and CA respectively if AB=12cm,BC=16 cm and CA =20 cm, find the perimeter of trapezium PBCR. ​

Answer 1

P AND R ARE THE MID POINT SIDE AB AND AC RESPECTIVELY.

BY MID POINT THEOREM

PR = 1/2BC ,PR||BC

PR = 1/2 ×16

=>PR = 8CM

PB =1/2 AB AND RC =1/2AC ( P AND R MID POINT OF THE SIDES AB AND AC RESPECTIVELY. )

=>PB =1/2×12 AND RC =1/2×20

=>PB =6 AND RC =10

HENCE ,PERIMETER TRAPEZIUM = SUM OF ALL SIDES

=>6+10+16+8

=> 40CM