High School Math : How to find the area of a kite

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Quadrilaterals

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

Possible Answers:

Correct answer:

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. 

The answer is 

Example Question #2 : Quadrilaterals

Find the area of the following kite:

Kite

Possible Answers:

Correct answer:

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 : Quadrilaterals

Find the area of the following kite:

Screen_shot_2014-03-01_at_9.16.34_pm

Possible Answers:

Correct answer:

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:

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