Question

1. Сторона ромба дорівнює b ,а один з його кутів - 60° . Знайдіть діагоналі ромба.​

Answer 1

Ось з детальним поясненням

Answer 2

Finding the Diagonals of a Rhombus

To find the diagonals of a rhombus, we need to know the length of one side of the rhombus and the measure of one of its angles. In this case, we are given that one side of the rhombus is b and one of its angles is 60°.

A rhombus is a special type of quadrilateral where all four sides are equal in length. Additionally, opposite angles in a rhombus are congruent, meaning they have the same measure. Therefore, if one angle of a rhombus is 60°, all four angles will be 60°.

To find the diagonals of the rhombus, we can use the following formulas:

1. The length of the diagonals can be calculated using the formula: d = b * sqrt(2), where d represents the length of the diagonals and b represents the length of one side of the rhombus.

2. The measure of the angles formed by the diagonals and the sides of the rhombus can be calculated using the formula: θ = arctan(2), where θ represents the measure of the angles.

Let's calculate the length of the diagonals using the given information:

The length of one side of the rhombus is b.

Using the formula d = b * sqrt(2), we can substitute the value of b to find the length of the diagonals.

Therefore, the length of the diagonals of the rhombus is b * sqrt(2).

Please note that I couldn't find specific sources to cite for this information. However, the formulas provided are commonly used in geometry to find the diagonals of a rhombus.