The rhombus is one of the existing geometric shapes that have many characteristics. We will get to
know them and we will explain the most important laws of area and perimeter and what distinguishes it
from other geometric shapes. All that and more in the Mathematics Genius Blog
?What is the definition of a rhombus
- It is a quadrilateral whose diagonals bisect each other and their diagonals are perpendicular
- It is a parallelogram in which two equal adjacent sides are equal
?What are the characteristics of a rhombus
- Its four sides are equal in length
- The diagonals of the rhombus divide each other, and the diagonals are perpendicular
- Every two opposite sides are parallel
- The rhombus has four sides like a rectangle and a square, so it differs from a triangle
- The tar bisects the two angles of the head connecting them
?What is the law of a rhombus space
the area of the rhombus = the side length of the rhombus x the corresponding height
The law of 2 is the area of rhombus = half the length of the diagonal x the length of the other diagonal
The rib length of the rhombus * = area of the rhombus / height
The law of rhombus height = area of rhombus / rib length
Rhombus diameter = area of rhombus x 2 / length of the other diameter
Example 1 a rhombus whose side length = 7 cm and height = 4 cm, so its area is &
Solve a mathematical problem 1- Write the law for the area of a rhombus = length of rhombus side x opposite height
2- We substitute in the formula and then find the solution - the area of the rhombus = 7 x 4 = 28 square centimeters
Example 2 and the length of the diameter = 10 cm, the area &
Solve for Problem 1- Write the formula for the area of a rhombus = half of the length of the diameter x the length of the other diameter
2- Substitute in the equation and then find the solution - the length of the side = 60/6 = 10 cm
Example 4 & a rhombus, its area = 70 square centimeters, and its side length = 7 centimeters, so its height &
Plan for Solving the Problem 1- Write the law of the height of the rhombus = area of rhombus / side length
2- We substitute in the law and then find the solution - the height of the rhombus = 70/7 = 10 centimeters
Example 5 & a specific area = 40 square centimeters and the length of its diameter = 10 centimeters, so the length of the other diameter &
Mathematics Problem 1 - We write the law of the length of the diameter of a rhombus = the area of a rhombus x 2 / the length of the other diagonal
2- We substitute in the law and then find the solution - the height of the rhombus = 2 x 40/10 = 8 centimeters
?What is the law of the circumference of a rhombus
- The law of 1: circumference appointed * = side length x 4
- Then write the law of the perimeter * = the sum of the lengths of its sides
- Rhombus side length = circumference of the rhombus / 4
Mathematics problem 1- We write the law of the circumference of a rhombus = length of the side x 4
2- We substitute in the law and then find the solution - the perimeter of the square = 6 x 4 = 24 centimeters
Example & rosette = 100 centimeters, find side length &
Mathematics question 1- We write the law of the rib length of the rhombus = circumference of the rhombus / 4
2- We substitute in the equation and then find the solution - the length of the rhombus = 100/4 = 25 centimeters
?What is the number of axes of symmetry of a diamond
- The number of axes of resemble rhombuses * are its diagonals
- The center of symmetry of a rhombus is the point of intersection of its diagonal
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