ACT Math : How to find the length of the side of a kite

Example Questions

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Example Question #271 : Act Math

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of the sum of the remaining two sides.

Explanation:

This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.

The solution is:

, where  one of the two missing sides.

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of one of the remaining two sides.

Explanation:

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.

The solution is:

, where  one of the two missing sides.

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