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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