Fill in the blank question.If the area of a kite is 44 square inches and the length of the long diagonal is 11 inches, what is the length of the short diagonal?
Question
Fill in the blank question.If the area of a kite is 44 square inches and the length of the long diagonal is 11 inches, what is the length of the short diagonal?
Solution
To find the length of the short diagonal of the kite, we can use the formula for the area of a kite. The area of a kite is given by:
where and are the lengths of the diagonals. In this case, we know the area is 44 square inches and the length of the long diagonal is 11 inches. We need to find the length of the short diagonal .
First, we can rearrange the formula to solve for :
Next, we substitute the known values into the formula:
Therefore, the length of the short diagonal is 8 inches.
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