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Example Questions
Example Question #11 : Kites
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?
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 #12 : Kites
Find the longest side of the kite that is shown above.
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 #13 : Kites
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?
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 #11 : How To Find The Length Of The Side Of A Kite
Given: Regular Pentagon with center
. Construct segments
and
to form Quadrilateral
.
True or false: Quadrilateral is a kite.
False
True
True
Below is regular Pentagon with center
, a segment drawn from
to each vertex - that is, each of its radii drawn.
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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