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Does A Rhombus Have 90 Degree Angles?

prove that the diagonal of a rhombus bisect each other at right angles
prove that the diagonal of a rhombus bisect each other at right angles from www.topperlearning.com

Geometry is a fascinating subject that deals with the measurement and properties of different shapes and figures. One of the most common shapes that we come across in geometry is a rhombus. A rhombus is a quadrilateral with four equal sides, but does it have 90 degree angles? In this article, we will explore this question in detail and provide you with a clear understanding of the topic.

What is a Rhombus?

A rhombus is a four-sided polygon with four equal sides. Each vertex of a rhombus connects two sides, and the angles opposite each other are equal. A rhombus can be considered as a special type of parallelogram since its opposite sides are parallel to each other. The diagonals of a rhombus bisect each other at right angles, which means they divide the rhombus into four congruent right triangles.

Types of Angles in a Rhombus

There are two types of angles in a rhombus: acute and obtuse angles. An acute angle is an angle that measures less than 90 degrees, while an obtuse angle measures more than 90 degrees. In a rhombus, the acute angles are opposite each other and the obtuse angles are opposite each other. Each pair of adjacent angles in a rhombus adds up to 180 degrees.

So, Does a Rhombus Have 90 Degree Angles?

No, a rhombus does not have 90 degree angles. While the diagonals of a rhombus bisect each other at right angles, the angles of a rhombus are not right angles. The acute angles in a rhombus are less than 90 degrees, and the obtuse angles are more than 90 degrees. Therefore, a rhombus cannot have 90 degree angles.

Some Interesting Facts about Rhombus

Here are some interesting facts about rhombus:

  • A rhombus is also called a diamond, and it is the only quadrilateral that has two pairs of congruent sides.
  • A square is a type of rhombus with four right angles.
  • The perimeter of a rhombus is equal to four times the length of its side.
  • The area of a rhombus can be calculated by multiplying the length of its diagonals and dividing the result by two.

Conclusion

In conclusion, a rhombus is a four-sided polygon with four equal sides that does not have 90 degree angles. It is a special type of parallelogram with opposite sides parallel to each other. The diagonals of a rhombus bisect each other at right angles, but the angles of a rhombus are not right angles. We hope that this article has provided you with a clear understanding of the topic and helped you learn something new about geometry.

Remember, the key to mastering geometry is practice and patience. Keep exploring and learning, and you'll soon become an expert in this fascinating subject!

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