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The answer depends on which sides of the trapezium U and K are on.

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How do you solve isosceles trapezoid median is given?

To solve for the dimensions of an isosceles trapezoid when the median is given, first recall that the median (or midsegment) of an isosceles trapezoid is the average of the lengths of the two parallel bases. If the median is ( m ) and the lengths of the bases are ( a ) and ( b ), then the relationship can be expressed as ( m = \frac{a + b}{2} ). You can use this equation to find one base if the other is known, or to establish relationships between the bases if additional information is provided. Additionally, you can apply properties of the trapezoid and the Pythagorean theorem to find heights or side lengths if needed.