Circle c is inscribed in triangle jeg. what is the perimeter of triangle jeg? 60 units 65 units 70 units 75 units

60

I just took the test.

From the figure we get FG = GH (the tangent from a point G to a circle is equal)

Therefore 3x-5= 2x

                x=5

FG=5, GH =3x-5 = 10 (the tangent from a point G to a circle is equal)

JK=JH =x+5=10

EK = EF=x+5 =10 (the tangent from a point G to a circle is equal)

Therefor sides of triangle EGJ are  

EG=20, GJ=20 and EJ=20. EGJ is an equilateral triangle

So the perimeter of triangle =60 units

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1,918

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