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tino4ka555 [31]
3 years ago
15

HELP please this is urgent!!!!! (Tangent lines)

Mathematics
1 answer:
sdas [7]3 years ago
5 0

Answer:

Perimeter = 32 cm

Step-by-step explanation:

Use the property of tangents drawn to a circle,

"Length of tangents drawn to a circle drawn from a point given outside the circle are equal"

AE = AH = 3 cm

BE = FB = 4 cm

CG = CF = 5 cm

Since, ∠B ≅ ∠D,

Therefore, length of tangents drawn from D will be equal to the length of tangents drawn form B.

Therefore, DG = DH = 4 cm

Now AB = AE + BE

              = 3 + 4

              = 7 cm

BC = FB + CF

     = 4 + 5

      = 9 cm

CD = CG + DG

     = 5 + 4

     = 9 cm

AD = AH + HD

     = 3 + 4

     = 7 cm

Perimeter of ABCD = AB + BC + CD + AD

                                                   = 7 + 9 + 9 + 7

                                                   = 32 cm

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