Q. 53.7( 41 Votes )

# In figure 3.85, is a parallelogram. It circumscribes the circle with cnetre T. Point E,F, G, H are touching points. If AE = 4.5,EB = 5.5, find AD.

Answer :

Given: AE = 4.5, EB = 5.5

Here, AE = AH = 4.5 {tangents from same external point are equal}

EB = BF = 5.5{tangents from same external point are equal}

∵ Opposite sides of a parallelogram are equal

∴ AE = DG and EB = GC

Also, DH = DG = 4.5{tangents from same external point are equal}

And FC = GC = 5.5 {tangents from same external point are equal}

⇒ AD = AH + HD = 10

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