How are the diagonals of a rhombus related to its sides?

The diagonals bisect each other at right angles. Each half-diagonal and the side form a right triangle: side = sqrt((d1/2)^2 + (d2/2)^2).

Is a square a special case of a rhombus?

Yes. A square is a rhombus with equal diagonals. For a square with side s, both diagonals equal s x sqrt(2) and the area formula gives s^2.

Can I find the area if I only know the side and one diagonal?

Yes. Find the other half-diagonal: (d2/2) = sqrt(side^2 - (d1/2)^2), then compute d2 and enter both diagonals.

Rhombus Area Calculator (Diagonals)

Calculate the area of a rhombus from its two diagonals. Formula: Area = (d1 x d2) / 2. Enter diagonal lengths for an instant result.

By AbraCalc Editorial Team · Reviewed by AbraCalc Methodology Review · Last reviewed: 2026-06-25

Embed this tool on your site

<iframe src="https://abracalc.com/calculator/rhombus-area-diagonals-calculator/embed.html" width="340" height="320" style="border:1px solid #e4e7ec;border-radius:12px" loading="lazy"></iframe>

How to use this tool

Enter diagonal 1 (d1) and diagonal 2 (d2) in the fields above.
Results update instantly as you type — or click Calculate.
Read your area and the full breakdown beneath it.

Formula

Area = (d1 x d2) / 2

How it works

The two diagonals of a rhombus bisect each other at right angles. Multiplying their lengths and dividing by 2 gives the area.

Worked example

Rhombus with diagonals 8 m and 6 m

Area = (8 x 6) / 2
Area = 48 / 2 = 24 m^2

24 m^2

Common mistakes to avoid

Using the side length instead of the diagonal lengths; the diagonals bisect each other at right angles and differ from the sides.
Multiplying the diagonals without dividing by 2, computing d1 x d2 instead of (d1 x d2) / 2.
Confusing this formula with the base x height formula; both give area but require different input measurements.

Key terms

What is a rhombus?: A quadrilateral with all four sides equal in length.
Are the diagonals of a rhombus perpendicular?: Yes, the diagonals of a rhombus always intersect at right angles.

Frequently asked questions

How are the diagonals of a rhombus related to its sides?: The diagonals bisect each other at right angles. Each half-diagonal and the side form a right triangle: side = sqrt((d1/2)^2 + (d2/2)^2).
Is a square a special case of a rhombus?: Yes. A square is a rhombus with equal diagonals. For a square with side s, both diagonals equal s x sqrt(2) and the area formula gives s^2.
Can I find the area if I only know the side and one diagonal?: Yes. Find the other half-diagonal: (d2/2) = sqrt(side^2 - (d1/2)^2), then compute d2 and enter both diagonals.