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

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #151 : Quadrilaterals

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:

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 #152 : Quadrilaterals

Kite_pic_custom_vt

Find the longest side of the kite that is shown above. 

Possible Answers:

Correct answer:

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 #153 : Quadrilaterals

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

Possible Answers:

Correct answer:

Explanation:

To solve this problem use the formula , where  and  represent the length of one side from each of the two pairs of adjacent sides. 

The solution is:





Make the first fraction into an improper fraction. Then find the reciprocal of the denominator and switch the operation sign:







Example Question #21 : Kites

Given: Regular Pentagon  with center . Construct segments  and  to form Quadrilateral .

True or false: Quadrilateral  is a kite.

Possible Answers:

True

False

Correct answer:

True

Explanation:

Below is regular Pentagon  with center , a segment drawn from  to each vertex - that is, each of its radii drawn.

Pentagon a

A kite is a quadrilateral with two sets of congruent adjacent sides, with the common length of one pair differing from that of the other. A regular polygon has congruent sides, so ; also, all radii of a regular polygon are congruent, so . It follows by definition that Quadrilateral  is a kite.

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