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Rhombus Calculator




Table of Contents:

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Formula

Base Times Height Method :
Area of Rhombus = b * h

Diagonal Method :
Area of Rhombus = ½ * d1 * d2 

Trigonometry Method :
Area of Rhombus = a² * SinA

Perimeter of Rhombus = 4(a)

where,
a = side, b = base, h = height, d1, d2 are diagonals

A Rhombus is a quadrilateral with four equal sides and opposite equal acute and obtuse angles. A rhombus is also a parallelogram with equal sides. Its like a lean square whose diagonals bisect each other but need not be 90 degree.

All four sides of Rhombus are congruent. Its diagonals are perpendicular and bisect vertex angles. Rhombus is also sometimes called as a 'diamond' or 'lozenge' shape.

Examples:
Case 1: Find the area of a rhombus with the given base 4 and height 5 using Base Times Height Method.

Step 1: Find the area.
Area = b * h = 4*5 = 20.

Case 2: Find the area of a rhombus with the given diagonals 4,5 using Diagonal Method.

Step 1: Find the area.
Area = ½ * d1 * d2 = 0.5 * 4*5 = 20*0.5 = 10

Case 3: Find the area of a rhombus with the given side 3 using Trigonometry Method.

Step 1: Find the area.
Area = a² * SinA = 3² * Sin(33) = 9* 1 = 9.

Case 4: Find the perimeter of a rhombus with the given side 3.

Step 1: Find the perimeter.
Perimeter = 4(a) = 4 * 3 = 12.