Answer:
Option (2)
Step-by-step explanation:
To solve this question we will use the property of tangents drawn to a circle.
"Tangents drawn from an external point to a circle are equal in length"
From the figure attached,
In ΔDEF,
DA = DC = 14 units [Equal tangents]
EA = EB = 13.7 units [Equal tangents]
FB = FC = 9 units [Equal tangents]
Therefore, DE = DA + AE = 14 + 13.7 = 27.7 units
EF = EB + BF = 13.7 + 9 = 22.7 units
DF = DC + FC = 14 + 9 = 23 units
Perimeter of ΔDEF = DE + EF + DF
= 27.7 + 22.7 + 23
= 73.4 units
Option (2) will be the answer.
