Question

В равнобедренном трапеции,острые углы=60 градусов,боковая сторона 10 см,нижняя 15(общ) найти основную и среднею линию

Answer 1

Ответ:

60:10=6

6х15=90

Ответ:средная линия 90

Объяснение:

Если неправильно прости

Answer 2

Given Information:

We are given the following information about an isosceles trapezoid: - The acute angles of the trapezoid are 60 degrees. - One of the lateral sides of the trapezoid measures 10 cm. - The lower base of the trapezoid measures 15 cm.

Finding the Length of the Upper Base:

To find the length of the upper base of the trapezoid, we can use the fact that the sum of the angles in a trapezoid is 360 degrees. Since the acute angles are both 60 degrees, the obtuse angles must be 180 - 60 - 60 = 60 degrees each. Therefore, the trapezoid is an isosceles trapezoid, and the upper base is equal in length to the lower base.

Finding the Length of the Median and the Diagonal:

To find the length of the median and the diagonal of the trapezoid, we can use the properties of an isosceles trapezoid. In an isosceles trapezoid, the median is equal in length to the average of the two bases. The diagonal is a segment that connects the midpoints of the non-parallel sides of the trapezoid.

Let's calculate the length of the median and the diagonal:

- Length of the median: The median is equal to the average of the two bases. Since the upper and lower bases are equal in length, the median is equal to (15 + 15) / 2 = 15 cm.

- Length of the diagonal: The diagonal is a segment that connects the midpoints of the non-parallel sides of the trapezoid. In an isosceles trapezoid, the diagonals are equal in length. Let's denote the midpoint of the lateral side as point M. The length of the diagonal can be calculated using the Pythagorean theorem, where one side is the length of the median (15 cm) and the other side is half the length of the lateral side (10 cm / 2 = 5 cm). Therefore, the length of the diagonal is √(15^2 + 5^2) = √(225 + 25) = √250 ≈ 15.81 cm.

Summary:

In the given isosceles trapezoid: - The length of the upper base is equal to the length of the lower base, which is 15 cm. - The length of the median is 15 cm. - The length of the diagonal is approximately 15.81 cm.

I hope this helps! Let me know if you have any further questions.