### All Intermediate Geometry Resources

## Example Questions

### 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.

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

, 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).

**Possible Answers:**

**Correct answer:**

, 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?

**Possible Answers:**

**Correct answer:**

, 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?

**Possible Answers:**

**Correct answer:**

, 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 .

**Possible Answers:**

**Correct answer:**

, 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?

**Possible Answers:**

**Correct answer:**

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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