Question

In the adjoining figure, P and Q are mid-points of sides AB and AC respectively of ∆ABC. If BC = 8cm, AB = 8.4cm and AC = 6.8cm, then find the perimeter of PQCB.

Answer 1

Answer:

Correct option is

B

14.2 cm

Given: X and Y are mid points of AB and AC respectively.

In △ABC, using mid point theorem

XY∥BC and XY=

2

1

BC

Thus, XY=3 cm

Since, D is mid point of AB , BX=

2

1

AB=

2

1

(5.4)=2.7 cm

Also, E is mid point of AC, CY=

2

1

AC=

2

1

(5)=2.5 cm

Now, Perimeter of XYCB = XY+YC+BC+XB

Perimeter of XYCB = 3+2.5+6+2.7

Perimeter of XYCB = 3+2.5+6+2.7 = 14.2 cm

Answer 2

Answer:

24.2 cm is the perimeter of PQCB.