# High School Math : Kites

## Example Questions

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

What is the area of a kite with diagonals of 5 and 7?

Explanation:

To find the area of a kite using diagonals you use the following equation

That diagonals ( and )are the lines created by connecting the two sides opposite of each other.

Plug in the diagonals for  and  to get

Then multiply and divide to get the area.

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

Find the area of the following kite:

Explanation:

The formula for the area of a kite is:

Where  is the length of one diagonal and  is the length of the other diagonal

Plugging in our values, we get:

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

Find the area of the following kite:

Explanation:

The formula for the area of a kite is:

where  is the length of one diagonal and  is the length of another diagonal.

Use the formulas for a  triangle and a  triangle to find the lengths of the diagonals. The formula for a  triangle is  and the formula for a  triangle is .

Our  triangle is:

Our  triangle is:

Plugging in our values, we get:

### Example Question #412 : High School Math

Find the perimeter of the following kite:

Explanation:

In order to find the length of the two shorter edges, use a Pythagorean triple:

In order to find the length of the two longer edges, use the Pythagorean theorem:

The formula of the perimeter of a kite is:

Plugging in our values, we get:

### Example Question #413 : High School Math

Find the perimeter of the following kite:

Explanation:

The formula for the perimeter of a kite is:

Where  is the length of the longer side and  is the length of the shorter side

Use the formulas for a  triangle and a  triangle to find the lengths of the longer sides. The formula for a  triangle is  and the formula for a  triangle is .

Our  triangle is:

Our  triangle is:

Plugging in our values, we get: