Question

In the given figure,QP || BC and PR || CD.if AQ=3cm,QB=2cm and RD=5cm,then the length of AR is:

Answer 1

Answer:

FIGURE IS IN THE ATTACHMENT.

Given:

AP = 2 cm

BQ = 3 cm

RC = 4 cm

AP = AR =  2 cm

BQ =  BP =3 cm

RC = CQ = 4 cm

(We know that two tangents drawn from an external point to the circle are equal in length.)

AB = AP + BP = 2 + 3 = 5 cm

BC = BQ + CQ = 3 + 4= 7 cm

CA = CR + AR = 4 +2 = 6 cm

Perimeter of ∆ ABC = AB + BC + CA

Perimeter of ∆ ABC = 5 + 7 + 6 = 18 cm.

Hence, the Perimeter of ∆ ABC = 18 cm.