Rectangle is first of allgeometric flat figure. It consists of four Points that are interconnected by two pairs of equal segments perpendicularly intersecting only at these points.
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The rectangle is determined through parallelograms. A different, a rectangle is a parallelogram, the angles of which are all straight, that is, equal to 90 degrees. In the geometry of Euclid, if a geometric figure of 3 of 4 of the corners are 90 degrees, the fourth corner is automatically equal to 90 degrees and such a figure can be called a rectangle.
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From the definition of the parallelogram it is clear that the rectangle is a lot of varieties of this figure on the plane. It follows from this that the properties of the parallelogram are applicable to the rectangle. For example: in a rectangle, opposite parties are equal at their length.
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When building a diagonal in a rectangle she disassemble Figure on two identical triangles. On this and founded the Pythagora theorem, which states that the square of hypotenuses in the rectangular triangle is equal to the sum of the squares of its cathets.
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If all sides of the right rectangle are equal, then such a rectangle is called a square. The square is also defined as a rhombus, in which all of its parties are equal to each other, and all corners are direct.
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Square rectangle Located by formula: S \u003d A * B, where A is the length of this rectangle, B is width. For example: Square rectangle With the parties 4 and 6 cm will be equal to 4 * 6 \u003d 24 centimeters in a square.
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Perime. tr.nSyamugle calculated by the formula: p \u003d (a + b) * 2, where a is the length of rectangles, b - width thisrectangle. For example: Pieme. tr Pr.the yamugle with the sides of 4 and 8 cm is equal to 24 cm.
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The diagonal inscribed in the circumference of the rectangle coincide with the diameter of this circle. The intersection point of these diagonals will be the center of the circle.
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In evidence on the involvement of geometric figures The figure is checked to a rectangle for any of the conditions: 1 - Square diagonalfigures equal to the sum of the squares of the two sides with one common point; 2 - diagonalfigures have equal length; 3 - all angles are equal to 90 degrees. Under the observance of at least one condition, you can call the figure with a rectangle.
In geometry, a rectangle is a basic figure. There are many rectangle subspecies that have special properties and characteristics.
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