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Lines s, t, and u are perpendicular bisectors of the sides of FGH and meet at J. If JG = 3x + 4, JH = 2y - 2, JF = 10 and HI = 2z - 4, find x, y, and z.

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Answer:

x = 4, y = 6, z = 8

Step-by-step explanation:

Given that for a triangle FGH, lines s, t and u are perpendicular bisectors.

They concur at the point J.

We know that the point of concurrence of perpendicular bisectors is the circmcenttre of the triangle.  Hence we will have J equidistant from the three vertices.  In other words,

JG = JH=JF

Now to find Z we make use of HI.

So 8 is right answer

x = 4, y = 6, z = 8

Step-by-step explanation:

sorry i took to long

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