In geometry, a rhombus is a special type of parallelogram in which two pairs of opposite sides are congruent.
That means all the sides of a rhombus are equal. Students often get confused with square and rhombus.
The main difference between a square and a rhombus is that all the internal angles of a square are right angles, whereas they are not right angles for a rhombus.
The area of a rhombus can be defined as the amount of space enclosed by a rhombus in a two-dimensional space.
Formulas to Calculate Area of Rhombus
Using Diagonals A = ½ × d1 × d2
Using Base and Height A = b × h
Using Trigonometry A = b2 × Sin(a)
The methods to calculate the area of a rhombus are explained in the next slide.
– Method 1: Using Diagonal
– Method 2: Using Base and Height
– Method 3: Using Trigonometry (i.e., using side and angle)
Area of Rhombus Using Trigonometry
– Step 1: Square the length of any of the sides.
– Step 2: Multiply it by Sine of one of the angles.
Practice Question To Do
Find the height of the rhombus, whose area is 175 cm² and perimeter is 100 cm.
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