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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?

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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 A A of a kite is given by:

A=12×d1×d2 A = \frac{1}{2} \times d_1 \times d_2

where d1 d_1 and d2 d_2 are the lengths of the diagonals. In this case, we know the area A A is 44 square inches and the length of the long diagonal d1 d_1 is 11 inches. We need to find the length of the short diagonal d2 d_2 .

First, we can rearrange the formula to solve for d2 d_2 :

d2=2Ad1 d_2 = \frac{2A}{d_1}

Next, we substitute the known values into the formula:

d2=2×4411 d_2 = \frac{2 \times 44}{11}

d2=8811 d_2 = \frac{88}{11}

d2=8 d_2 = 8

Therefore, the length of the short diagonal is 8 inches.

This problem has been solved

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