Pregunta
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The area of a kite is 27.28 square inches. One diagonal measures 8.8 inches. What is the measure of the other diagonal?

Ask by Fuentes Savage. in the United States
Jan 23,2025

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The other diagonal measures 6.2 inches.

Solución

To find the measure of the other diagonal of the kite, you can use the formula for the area of a kite: \[ \text{Area} = \frac{d_1 \times d_2}{2} \] Where: - \( d_1 \) and \( d_2 \) are the lengths of the diagonals. Given: - Area = 27.28 square inches - One diagonal (\( d_1 \)) = 8.8 inches Plugging in the known values: \[ 27.28 = \frac{8.8 \times d_2}{2} \] First, multiply both sides by 2 to eliminate the denominator: \[ 54.56 = 8.8 \times d_2 \] Next, solve for \( d_2 \): \[ d_2 = \frac{54.56}{8.8} = 6.2 \text{ inches} \] **Answer:** The other diagonal measures 6.2 inches.

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Mind Expander

To find the measure of the other diagonal of a kite when you know one diagonal and the area, you can use the formula for the area of a kite, which is (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. Here, the area is given as 27.28 square inches and one diagonal (d1) is 8.8 inches. Rearranging the formula to find d2 gives you d2 = (Area * 2) / d1. Plugging in the values: d2 = (27.28 * 2) / 8.8 ≈ 6.20 inches. So, the measure of the other diagonal is approximately 6.20 inches. Kites are fascinating because they aren't just flying objects! The word "kite" comes from the Middle English "kithe," referring to a particular type of bird. Historically, kites have been used for various purposes, from military signaling to scientific research, and even in traditional festivals in various cultures worldwide, showcasing their versatile role beyond just recreation. If you're thinking about practical applications, consider how the principles of a kite apply not only to geometry but also to engineering and design. Engineers analyze shapes and structures, just like the diagonals of a kite, to ensure stability and efficiency in various constructions, proving that math isn't just numbers—it's an essential part of creating our world!

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