Question

All sides of a quadrilateral ABCD touch a
circle. If AB = 6 cm, BC = 7.5 cm, CD = 3 cm,
then DA is
A) 3.5 cm B) 4.5 cm C) 2.5 cm D) 1.5 cm​

Answer 1

Answer:

D) 1.5 cm​

Step-by-step explanation:

as tangents drawn from external point are equal

AE=AH....i

BE=BF......ii

GC=FC....iii

GD=HD....iV

Adding i,ii,iii & IV

AE+BE+GC+GD = AH+BF+FC+HD

AB+CD = AD+BC

6+3 = AD +7.5

AD= 9-7.5= 1.5CM