Question

СРЕДНЯЯ ЛИНИЯ ТРАПЕЦИИ РАВНА 7, НАЙДИТЕ ОСНОВАНИЯ, ЕСЛИ ОДНО ИЗ ОСНОВАНИЙ БОЛЬШЕ ДРУГОГО НА 4 СМ

Answer 1

Пусть меньшее основание равно х см, тогда большее основание равно х+4 см. Среднняя линия трапеции равна полусумме оснований, откуда имеем:

х+х+4=2*7;

2х+4=14;

2х=14-4;

2х=10;

х=10:2;

х=5;

х+4=5+4=9

ответ: 5 см, 9 см

Answer 2

(x+x+4)/2=7

2x+4=14

2x=10

x=5

 

a=5, b=5+4=9

Answer 3

Finding the Bases of a Trapezoid

To find the bases of a trapezoid when one base is 4 cm longer than the other and the average length of the trapezoid is 7 cm, we can use the given information to set up an equation.

Let's assume the shorter base of the trapezoid is x cm. Since the other base is 4 cm longer, the longer base can be represented as (x + 4) cm.

The average length of the trapezoid is given as 7 cm. The formula for the average length of a trapezoid is (shorter base + longer base) / 2. So we can set up the equation as follows:

(x + (x + 4)) / 2 = 7

Simplifying the equation:

(2x + 4) / 2 = 7 2x + 4 = 14 2x = 10 x = 5

Therefore, the shorter base of the trapezoid is 5 cm. And since the longer base is 4 cm longer, the longer base is 5 + 4 = 9 cm.

So, the bases of the trapezoid are 5 cm and 9 cm.