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

## Example Questions

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### Example Question #1 : How To Find The Length Of The Side Of A Kite

The diagonals of a kite are  inches and  inches respectively. Two of the sides of the kite are each  inches. Find the length of the other two sides.

Explanation:

We would do best to begin with a picture.

One of our diagonals is bisected by the other, and thus each half is 12.  The other important thing to recall is that the diagonals of a kite are perpendicular.  Therefore we have four right triangles.  We can then use the Pythagorean Theorem to calculate the upper portion of the vertical diagonal to be 5.  That means that the bottom portion of our diagonal is 9.

Using the Pythagorean Theorem, we can calculate our remaining sides to be 15.

### Example Question #2 : How To Find The Length Of The Side Of A Kite

A kite has a perimeter of  inches. One pair of adjacent sides of the kite have a length of  inches. What is the measurement for each of the other two sides of the kite?

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #3 : How To Find The Length Of The Side Of A Kite

A kite has a perimeter of  mm. One pair of adjacent sides of the kite have lengths of  mm. What is the measurement for one of the other two sides of the kite?

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #4 : How To Find The Length Of The Side Of A Kite

A kite has a perimeter of  inches. One pair of adjacent sides of the kite have lengths of  inches. What is the measurement for one of the other two sides of the kite?

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #5 : How To Find The Length Of The Side Of A Kite

Using the kite shown above, find the length of side

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #6 : How To Find The Length Of The Side Of A Kite

Using the kite shown above, find the length of side . (Note, the perimeter of this kite is equal to  feet).

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #7 : How To Find The Length Of The Side Of A Kite

Ms. Dunn has a kite shaped backyard with a perimeter of  yards. One pair of adjacent sides of the kite-shaped backyard each have lengths of  yard. What is the measurement for one of the other two sides of the kite-shaped backyard?

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #8 : How To Find The Length Of The Side Of A Kite

A kite has a perimeter of  mm. One pair of adjacent sides of the kite have lengths of  mm. What is the measurement for one of the other two sides of the kite?

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #9 : How To Find The Length Of The Side Of A Kite

Using the above kite, find the length of side

Explanation:

To find the missing side of this kite, work backwards using the formula:

, where  and  represent the length of one side from each of the two pairs of adjacent sides.

The solution is:

### Example Question #10 : How To Find The Length Of The Side Of A Kite

The lengths of the non-adjacent sides of a kite have the ratio . If the longer sides have a length of  cm, what is the length of each of the shorter two sides?

Explanation:

The sides have the ratio , thus the longer sides must be  times greater than the smaller sides.

Since the longer sides are  cm, the shorter sides must be:

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