Diamond. Properties and patterns

A rhombus is a quadrilateral with sides of equal length. Each is a parallelogram and a deltoid - its diagonals intersect at their centers. A special example of a rhombus is a square, which is a rhombus with diagonals of the same length and all right angles. What are the properties of the rhombus? What is the formula for its circumference and area?

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1. Properties of the rhombus

A rhombus, also known as a slash, is a quadrilateral with all equal sides and diagonals intersecting at right angles. What other properties does it have?

  • The rhombus is a convex figure;
  • The diagonals intersect at right angles, dividing the rhombus into four congruent right-angled triangles;
  • The sum of the measures of all interior angles is 2π (360 °);
  • The sum of the measures of the two adjacent internal angles is π (180 °);
  • Each diagonal coincides with the axis of symmetry of the rhombus;
  • Each diagonal coincides with the bimodal angles;
  • The point of intersection of the diagonals of the rhombus divides them in half;
  • The point of intersection of the diagonals determines the center of the inscribed circle;
  • The point of intersection of the diagonals is the center of symmetry of the diamond.

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2. The pattern for the circumference of the rhombus

We can calculate the circumference of the rhombus according to the formula:

Circ = 4a

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3. The formula for the area of ​​the diamond

The area of ​​the rhombus can be calculated on the basis of the following formulas:

P = d1 * d2 / 2

where d1 and d2 are the diagonals of the rhombus or:

P = a * h

where a is the side of the rhombus and h is the height dropped to that side.

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