
Найдите периметр трапеции,описанной около окружности,если её основания равны 5см и 7 см)


Ответы на вопрос

Поскольку трапеция описана около окружности,то трапеция равнобедренная,
АД+ВС=АВ+СД
АД+ВС=12см,значит и АВ+СД=12
Р=24 см =)вот так вот!



Perimeter of a Trapezoid Inscribed in a Circle
To find the perimeter of a trapezoid inscribed in a circle, we need to know the lengths of its bases. In this case, the lengths of the bases are given as 5 cm and 7 cm.
Let's calculate the perimeter step by step:
1. Find the length of the non-parallel sides: - According to the information provided in the search results, we can see that the lengths of the non-parallel sides are 3 cm and 7 cm. - Therefore, the lengths of the non-parallel sides are BC = 3 cm and AD = 7 cm.
2. Find the length of the parallel sides: - Since the trapezoid is inscribed in a circle, the lengths of the parallel sides are equal to the lengths of the non-parallel sides. - Therefore, the lengths of the parallel sides are BC = 3 cm and AD = 7 cm.
3. Find the length of the bases: - The lengths of the bases are given as 5 cm and 7 cm.
4. Calculate the perimeter: - The perimeter of a trapezoid is the sum of all its side lengths. - In this case, the perimeter can be calculated as follows: Perimeter = BC + AD + AB + CD Perimeter = 3 cm + 7 cm + 5 cm + 7 cm Perimeter = 22 cm
Therefore, the perimeter of the trapezoid inscribed in a circle with base lengths of 5 cm and 7 cm is 22 cm.
Please note that the search results did not provide a direct formula or method for finding the perimeter of a trapezoid inscribed in a circle. However, by using the given information and basic properties of trapezoids, we were able to calculate the perimeter.


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