Question

Основания трапеции относятся как 3/5 её средняя линия равна 48 см Найдите меньшее основание а)60б)24в)12г)36помогите пожалуйста срочно!!!!!дам 10 баллов​

Answer 1

Ответ:

36 cм

Объяснение:

Пусть меньшее основание 3х cм, большее основание 5х cм.

Средняя линия трапеции равна полусумме оснований, т.е. по условию

(3х+5х):2=48

4х=48

х=12

Меньшее основание = 12*3=36 cм.

Answer 2

Finding the Length of the Smaller Base of a Trapezoid

To find the length of the smaller base of a trapezoid when the ratio of the bases and the length of the median are given, we can use the following steps:

1. Understand the Given Information: - The ratio of the bases is 3:5. - The length of the median is 48 cm.

2. Use the Median Formula: - The length of the median of a trapezoid is the average of the lengths of the two bases. We can use this information to find the lengths of the bases.

3. Calculate the Length of the Bases: - Let's denote the lengths of the smaller and larger bases as x and y, respectively. - According to the given ratio, we can express y in terms of x: y = (5/3)x.

4. Apply the Median Formula: - The median is the average of the bases: (x + y)/2 = 48. - Substitute y = (5/3)x into the equation and solve for x.

Let's proceed with the calculation to find the length of the smaller base.

Calculation

The equation for the median can be expressed as: (x + (5/3)x)/2 = 48

Solving for x: (8/3)x/2 = 48 (4/3)x = 48 x = 48 * (3/4) x = 36

So, the length of the smaller base (x) is 36 cm.

Therefore, the correct answer is г) 36.