Question

Середня лінія трапеції дорівнює 10 см. Знайдіть більшу основу трапеції, якщо: Одна з основ трапеції в 2 рази більша від другої.​

Answer 1

Ответ:

13 1/3 см

Объяснение:

Нехай менша основа х см, тоді більша основа 2х см. За умовою

(х+2х)/2=10

3х=20

х=20/3

Більша основа=20*2/3=40/3=13 1/3 см

Answer 2

Finding the Larger Base of a Trapezoid

To find the larger base of a trapezoid, we are given that the average length of the trapezoid is 10 cm, and one of the bases is twice as long as the other base.

Let's denote the shorter base as x cm. According to the given information, the longer base would then be 2x cm.

To find the larger base, we need to determine the value of x.

Since the average length of the trapezoid is given as 10 cm, we can use this information to set up an equation:

Average Length = (Sum of the Bases) / 2

Substituting the values we have:

10 = (x + 2x) / 2

Simplifying the equation:

10 = 3x / 2

To solve for x, we can multiply both sides of the equation by 2 and then divide by 3:

20 / 3 = x

Therefore, the shorter base (x) of the trapezoid is approximately 6.67 cm.

To find the longer base, we can substitute this value back into the equation:

2x = 2 * (20 / 3) = 40 / 3

Therefore, the longer base of the trapezoid is approximately 13.33 cm.

So, the larger base of the trapezoid is approximately 13.33 cm.