Question

Сторона ромба равна его диагонали. найдите больший угол ромба.ответ дайте градусах

Answer 1

АВСД - ромб, диогональ ДВ ровна стороне ромба, значит треугольник АВД - ровносторонний. Угол ДАВ = 60 градусов (АВД - ровносторонний)

Противоположные углы ромба ровны, значит угол А= углу С, а угол Д = углу В = 360 - 60*2= 120 градусов.

Ответ: больший угол равен 120 градусов

Answer 2

Finding the Larger Angle of a Rhombus

To find the larger angle of a rhombus, we need to consider the properties of a rhombus. A rhombus is a quadrilateral with four equal sides. The diagonals of a rhombus bisect each other at right angles.

Let's denote the larger angle of the rhombus as A. Since the diagonals of a rhombus bisect each other at right angles, we can conclude that the sum of the two smaller angles is equal to 90 degrees. Therefore, the larger angle A is equal to 180 degrees minus the sum of the two smaller angles.

Now, let's find the value of the larger angle A using the given information that the side of the rhombus is equal to its diagonal.

According to the search results, we have the following information:

- Source states that the larger angle of the rhombus is 60 degrees. - Source provides a formula to calculate the larger angle of a rhombus, but it does not directly mention the value of the larger angle.

Based on the available information, we can conclude that the larger angle of the rhombus is 60 degrees.

Please note that the search results do not provide a direct citation for the value of the larger angle. However, the information from Source suggests that the larger angle of a rhombus is 60 degrees.