# Intermediate Geometry : How to find the length of the side of a rhombus

## Example Questions

### Example Question #11 : How To Find The Length Of The Side Of A Rhombus

Given that a rhombus has a perimeter of , find the length of a side of the rhombus.

Explanation:

To find the length of one side of the rhombus, apply the formula:

, where  is the side length.

Since we are given the perimeter, we plug that value into the equation and solve for .

### Example Question #12 : How To Find The Length Of The Side Of A Rhombus

Given that a rhombus has an area of  square units, and a height of . What is the length of one side of the rhombus?

Explanation:

To find the length of a side of the rhombus, work backwards using the area formula:

Since we are given the area and the height, we plug these values into the equation and solve for the base.

### Example Question #13 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Cannot be determined

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #14 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #15 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #16 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #17 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #18 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #19 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .

Explanation:

Recall that the diagonals of a rhombus bisect each other and are perpendicular to one another.

In order to find the length of the side, we can use Pythagorean's theorem. The lengths of half of the diagonals are the legs, and the length of the side of the rhombus is the hypotenuse.

First, find the lengths of half of the diagonals.

Next, substitute these half diagonals as the legs in a right triangle using the Pythagorean theorem.

### Example Question #20 : How To Find The Length Of The Side Of A Rhombus

Find the length of a side of a rhombus if it has diagonals possessing the following lengths:  and .