What is a rhombus, what are the properties of a rhombus? How to calculate the rhombic area ? The following article will help you consolidate your knowledge of this level 1 geometry.
A rhombus is a quadrangle with 4 equal sides, 2 pairs of opposite sides parallel to each other, where the opposite angles are equal and there are no right angles, the two diagonals perpendicular to each other at the midpoint of each line. In addition, you can remember with another definition: A rhombus is a special case of a parallelogram when 2 adjacent sides are of equal length. Below will be how to calculate the rhombus area, some types of problems applying the formula for calculating the rhombic area and illustrative examples.
The formula for calculating the rhombic area
HOW TO CALCULATE THE RHOMBIC AREA
Standard rhombic area calculation formula: S = 1⁄2 d1d2 (The rhombic area is half the length product of the diagonals d1 and d2, the unit of area is square meters m2)
Thus, to know the area of the rhombus, you need to know the length of 2 diagonals. Here are the applicable exercises.
Example 1: Calculate the rhombic area knowing that the diagonal d1 is 5cm long, the diagonal d2 is twice as long as the diagonal d1.
Awards:
The problem says that d1 is 5cm long, d2 is twice as long as d1, from here we deduce d2 = 5 x 2 = 10 cm.
Applying the calculation of the rhombic area, we get: S = 1⁄2 d1d2 = 5 x 10 = 50 cm2
Example 2: Calculate the rhombic area knowing that the side length a is 7 cm, diagonal d2 = 6 cm, isosceles triangle ABC has a high line length AH = 5 cm.
Awards:
To calculate the area, you first go to find the remaining diagonal length.
According to the property of the rhombus, the 2 diagonals intersect at the Midpoint, so we have AH = HD = 5 cm. From this derives the diagonal d1 = 10cm.
According to the formula for calculating the rhombic area, we have: S = 1⁄2 d1d2 = 10 x 6 = 60 cm2
The response is 60 cm2
There are many types of problems to calculate the rhombic area based on the length of the sides and angles that we will learn in the larger class. Then we need to use the Pythagorean theorem or trigonometric formulas.
Within the framework of this article, Software has shared and helped you consolidate your knowledge of rhombuses. If you encounter other types of problems that need to calculate the rhombic circumference or area …, you can comment for answers.
https://Software/cach-tinh-dien-tich-hinh-thoi-25348n.aspx
Rhombus, square, parallelogram … are all special cases of quadrangles. However, depending on the special cases, the calculation of the