Respuesta :

Step-by-step explanation:

OI= 3.2 cm (same as OH)

To find GI, use Pythagoras Theorem (a²+b²= c²)

6.8²+3.2²= 56.48

√56.48= 7.5 cm

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IN TRIANGLE GOH,

(OH)^2+(GH)^2 = (GO)^2

(3.2)^2+(GH)^2 = (6.8)^2

10.24 + (GH)^2 = 46.24

(GH)^2 = 46.24 - 10.24

(GH)^2 = 36

GH = 6

GH = GI ( TANGENTS FROM EXTERNAL POINT ARE EQUAL )

THEREFORE, GI = 6

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