In an isosceles trapezoid with an upper base equal to 1, a circle of unit radius is inscribed.

In an isosceles trapezoid with an upper base equal to 1, a circle of unit radius is inscribed. Find the bottom base of the trapezoid.

If a circle can be inscribed into an isosceles trapezoid, then the square of the height is equal to the product of the bases of the trapezoid: that is, 4 = 1 × x, where x is the sought second base, x = 4.
Answer: 4



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