# geometry

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The legs of an isosceles triangle have lengths 2x+4 and x+8 . The base has length 5x-2 . What is the length of the base?

• geometry -

Since the legs of an isosceles triangles are equal, we can equate the lengths and solve for x.
2x+4 = x+8
2x-x = 8-4
x = 4
Substitute x in the expression of the third side and evaluate the length.

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