Parallelogram Diagonal Calculator | How to Find Parallelogram Diagonal

Diagonal in geometry, a line segment connecting two non-adjacent vertices of a polygon or polyhedron. The diagonal of a polygon is a line segment connecting its two vertices that do not lie on one side.

Parallelogram — is a quadrangle in which the opposite sides are pairwise parallel, that is, they lie on parallel lines. Particular cases of a parallelogram are a rectangle, a square, and a rhombus.

Are you struggling to find the diagonal of a parallelogram? Our Parallelogram Diagonal Calculator can help! This free tool can help you quickly and easily calculate the diagonal of a parallelogram.

Parallelogram Diagonal Formulas

According to the cosine theorem, the side of the triangle to the second degree is equal to the sum of the squares of its two other sides and their double product by the cosine of the angle between them. Since any diagonal of a parallelogram divides it into two congruent triangles, you can calculate the diagonal by knowing the sides of the parallelogram and the angle between them. Keep in mind that the angle and the diagonal must be in the same triangle, otherwise you need to calculate the necessary angle, taking away the known from 180 degrees by the principle of additional angles.

To find the diagonal of a parallelogram, you can use either of the following formulas:

• d = \sqrt{a^2+b^2-2ab cos(\alpha)}
• d = 2\sqrt{a^2+b^2}

Where: d is the diagonal length of the rhombus, a and b are the lengths of the adjacent sides of the parallelogram, and α is the angle between the adjacent sides (in degrees).

Step-by-Step Process: How to Find Parallelogram Diagonal

1. Measure the lengths of the adjacent sides of the parallelogram.
2. Measure the angle between the adjacent sides (in degrees).
3. Use either of the parallelogram diagonal formulas to calculate the diagonal of the parallelogram.
4. Enter the values of a, b, and α into our Parallelogram Diagonal Calculator to get an instant result.

Our calculator makes it even easier to find the diagonal of a parallelogram. Simply enter the values of a, b, and α, and our calculator will give you the diagonal of the parallelogram in seconds.

Whether you are a student, teacher, or professional, our free tool can save you time and effort. Try it out now!