An isosceles trapezoid is inscribed in the circle. The larger base is 8 and the side is 5, find the second base.

univerkov | January 25, 2021 | education

Let’s apply two properties of a trapezoid that is inscribed in a circle.

Only an isosceles trapezoid can be inscribed in a circle, then AB = CD = 5 cm.

If a circle is inscribed in a trapezoid, then the sum of the lengths of its lateral sides is equal to the sum of the lengths of the bases. (AB + CD) = (BC +AD).

5 + 5 = BC + 8.

BC = 10 – 8 = 2 cm.

Answer: The smaller base is 2 cm.

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