In an isosceles trapezoid, described in an isosceles trapezoid, circumscribed
| August 7, 2021 | education
In an isosceles trapezoid, described in an isosceles trapezoid, circumscribed about a circle, one of the bases is 8 cm, and the side is 5 cm. Find the second base of the trapezoid.
Since, by condition, the trapezoid is isosceles, then AB = CD = 5 cm.
It is possible to inscribe into a trapezoid if, and only if, if the sum of the sides of the trapezoid is equal to the sum of the bases of the trapezoid.
AB + CD = BC + AD.
BC = AB + CD – AD = 5 + 5 – 8 = 2 cm.
Answer: The length of the second base of the trapezoid is 2 cm.
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