A rectangle is a four-sided polygon characterized by its opposite sides being equal in length and each interior angle being a right angle (90 degrees). Here are some key properties of a rectangle:
1. Equal Opposite Sides:Opposite sides of a rectangle are equal in length. This means that if you take any two sides that are opposite to each other, they will have the same length.
2. Right Angles: All four interior angles of a rectangle are right angles (90 degrees). This property distinguishes a rectangle from other quadrilaterals.
3. Diagonals:The diagonals of a rectangle are equal in length and bisect each other at right angles. The length of the diagonal (d) can be found using the Pythagorean theorem: (d = \sqrt{a^2 + b^2}\), where \(a\) and \(b\) are the lengths of the two sides meeting at the right angle.
The diagonals bisect each other at different angles. One is acute, and another one is an obtuse angle
If the two diagonals bisect each other at right angles, then the rectangle is known as a square
A cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the longer parallel sides. In this case, the height of the cylinder is equal to the width of a rectangle. Also, the cylinder diameter is equivalent to the length of a rectangle
A cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the shorter parallel sides. In this case, the height of the cylinder is equal to the length of a rectangle. Similarly, the cylinder diameter is equivalent to the width of a rectangle
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A rectangle is a four-sided polygon characterized by its opposite sides being equal in length and each interior angle being a right angle (90 degrees). Here are some key properties of a rectangle:
1. Equal Opposite Sides:Opposite sides of a rectangle are equal in length. This means that if you take any two sides that are opposite to each other, they will have the same length.
2. Right Angles: All four interior angles of a rectangle are right angles (90 degrees). This property distinguishes a rectangle from other quadrilaterals.
3. Diagonals:The diagonals of a rectangle are equal in length and bisect each other at right angles. The length of the diagonal (d) can be found using the Pythagorean theorem: (d = \sqrt{a^2 + b^2}\), where \(a\) and \(b\) are the lengths of the two sides meeting at the right angle.
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Step-by-step explanation:
Rectangle Properties
The fundamental properties of rectangles are:
A rectangle is a quadrilateral
The opposite sides are parallel and equal to each other
Each interior angle is equal to 90 degrees
The sum of all the interior angles is equal to 360 degrees
The diagonals bisect each other
Both the diagonals have the same length
A rectangle with side lengths a and b has the perimeter as 2a+2b units
A rectangle with side lengths a and b has the area as: ab sin 90 = ab square units
A diagonal of a rectangle is the diameter of its circumcircle
If a and b are the sides of a rectangle, then the length of each diagonal is:
\(\begin{array}{l}d = \sqrt{a^{2}+b^{2}}\end{array} \)
The diagonals bisect each other at different angles. One is acute, and another one is an obtuse angle
If the two diagonals bisect each other at right angles, then the rectangle is known as a square
A cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the longer parallel sides. In this case, the height of the cylinder is equal to the width of a rectangle. Also, the cylinder diameter is equivalent to the length of a rectangle
A cylinder is obtained when the rectangle is rotated along the line joining the midpoint of the shorter parallel sides. In this case, the height of the cylinder is equal to the length of a rectangle. Similarly, the cylinder diameter is equivalent to the width of a rectangle
hi how are you friend hope helpful keep smiling thanks