Question

У трапеції ABCD діагональ ділить середню лінію на відрізки 5,5 см і 3 см. Знайти основи трапеції.​

Answer 1

Ответ:

если средняя линия равна (а+б)/2, то а+б = (5,5+3)*2= 17

Answer 2

Finding the bases of a trapezoid

To find the bases of a trapezoid, we can use the information given about the diagonal and the lengths of the segments it divides the median into.

Let's denote the length of the longer segment of the median as x and the length of the shorter segment as y. We are given that x = 5.5 cm and y = 3 cm.

In a trapezoid, the median is the average of the bases. Therefore, we can set up the following equation:

median = (base1 + base2) / 2

Substituting the given values, we have:

x = (base1 + base2) / 2

Since we know the value of x, we can solve for the sum of the bases:

base1 + base2 = 2x

Now, let's substitute the given value of x = 5.5 cm into the equation:

base1 + base2 = 2 * 5.5 cm

base1 + base2 = 11 cm

Therefore, the sum of the bases of the trapezoid is 11 cm.

Please note that the specific lengths of the bases cannot be determined with the given information. We can only determine the sum of the bases.

I hope this helps! Let me know if you have any further questions.