Question

диагональ трапеции делит среднюю линию на отрезки равные 4 см и 3 см. Найдите меньшее основание трапеции

Answer 1

У нас образовалось два треугольника АВС со средней линией МО и АСД со средней линией ОН, т.к. средняя линия треугольника  равна половине длины основания, то средняя линия равна 6 см, а значит и меньшее основание равно 6. Сегодня в классе решали) 

Answer 2

3х+5х=16*2, х=4 
4*3=12 см - меньшее основание 
4*5=20 см - большее основание

Answer 3

Finding the Smaller Base of a Trapezoid

To find the smaller base of a trapezoid, we need to use the information given about the diagonal dividing the median into segments of 4 cm and 3 cm.

Let's denote the smaller base of the trapezoid as x.

We know that the diagonal divides the median into two segments, one measuring 4 cm and the other measuring 3 cm.

Using this information, we can set up the following equation:

x + 4 = 3 + x

Simplifying the equation, we find:

x + 4 = x + 3

Subtracting x from both sides, we get:

4 = 3

However, this equation does not have a valid solution. It implies that the given information is contradictory or incorrect.

Therefore, we cannot determine the value of the smaller base of the trapezoid based on the information provided.

Please double-check the given information or provide additional details if available.