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ABCD is a kite, if RA=20yds and BD=44yds find AB

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Answer:

Explanation:

In a kite, the diagonals intersect at right angles, and the longer diagonal is the perpendicular bisector of the shorter diagonal. In this case, we have BD as the longer diagonal and RA as the shorter diagonal.

Given that BD is 44 yards and RA is 20 yards, we can determine the length of AB by using the properties of a kite.

The length of AB can be found by applying the Pythagorean theorem to the right triangle formed by AB, BD, and the segment of the longer diagonal perpendicular to the shorter diagonal.

Using the Pythagorean theorem, we have:

AB^2 = BD^2 - RA^2

AB^2 = 44^2 - 20^2

AB^2 = 1936 - 400

AB^2 = 1536

Taking the square root of both sides:

AB = √1536

Simplifying the square root:

AB ≈ 39.19

Therefore, AB is approximately 39.19 yards.

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