Question

основания трапеции относятся как 2:3, а средняя линия равна 15 см.Найдите основания трапеции. спасите:)

Answer 1

Х - 1 часть,   2х первое основание,  3х второе основание, одна часть равна:          1,5(2х+3х)=15        2.5х=15   х=6      1 основ = 12,   2 основ = 18

Answer 2

Finding the Bases of a Trapezoid

To find the bases of a trapezoid when the ratio of the bases is 2:3 and the length of the median is 15 cm, we can use the following steps:

1. Let's assume the lengths of the bases are 2x and 3x, where x is a common factor. 2. The median of a trapezoid is the average of the lengths of the bases. In this case, the median is given as 15 cm. 3. Therefore, we can set up the equation: (2x + 3x) / 2 = 15. 4. Simplifying the equation, we get: 5x / 2 = 15. 5. To solve for x, we can multiply both sides of the equation by 2/5: x = (15 * 2) / 5. 6. Simplifying further, we find that x = 6. 7. Now, we can substitute the value of x back into the expressions for the bases: 2x = 2 * 6 = 12 and 3x = 3 * 6 = 18.

Therefore, the bases of the trapezoid are 12 cm and 18 cm.

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