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Find the radius of the circle circumscribed around an equilateral trapezoid, if the bases of the trapezoid are 9 and 15, and the height is 5.

User Arash HF
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To find the radius of the circle circumscribed around an equilateral trapezoid, we need to first find the length of the diagonal of the trapezoid. The diagonal is equal to the height of the trapezoid times the square root of 3, since the trapezoid is equilateral.

So, the length of the diagonal is 5 * √3 = 8.66 meters.

Next, we need to find the midpoint of the two diagonals of the trapezoid, which is the center of the circumscribed circle. The midpoint is found by averaging the length of the two diagonals, which are equal in length:

(9 + 15) / 2 = 12

So, the radius of the circumscribed circle is equal to half the length of the diagonal:

8.66 / 2 = 4.33 meters.

Therefore, the radius of the circle circumscribed around the equilateral trapezoid is 4.33 meters.
User Fivebob
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