Question

Один из углов ромба равен 60 градусов,а напротив лежаший диагональ 7 см.найдите периметр ромба.

Answer 1

Если напротив угла 60 градусов лежит диогонпль a см, то периметр ромба равен a×4, т.е. 7×4=28 см

Answer 2

Perimeter of a Rhombus with an Angle of 60 Degrees and a Diagonal of 7 cm

To find the perimeter of a rhombus with an angle of 60 degrees and a diagonal of 7 cm, we can use the properties of a rhombus.

A rhombus is a quadrilateral with all four sides of equal length. The diagonals of a rhombus bisect each other at right angles.

Let's denote the rhombus as ABCD, with diagonal BD = 7 cm and angle ABD = 60 degrees.

1. Finding the length of side AB: - Since the diagonals of a rhombus bisect each other at right angles, we can divide the diagonal BD into two equal parts, each representing the length of a side of the rhombus. - Therefore, AB = BD/2 = 7/2 = 3.5 cm.

2. Finding the perimeter of the rhombus: - In a rhombus, all four sides are equal in length. Therefore, AB = BC = CD = AD. - The perimeter (P) of a rhombus is given by P = 4 * AB. - Substituting the value of AB, we get P = 4 * 3.5 = 14 cm.

Therefore, the perimeter of the rhombus is 14 cm.

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