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Finding the Segment Connecting Opposite Vertices of a Rectangle
To find the segment connecting the opposite vertices of a rectangle, we need to consider the properties of rectangles and their diagonals.
A rectangle is a quadrilateral with four right angles. Its opposite sides are equal in length, and its diagonals are congruent and bisect each other. The diagonals of a rectangle are segments that connect opposite vertices.
Let's denote the vertices of the rectangle as A, B, C, and D. The segment connecting the opposite vertices A and C is the diagonal AC. Similarly, the segment connecting the opposite vertices B and D is the diagonal BD.
The length of the diagonal AC can be calculated using the Pythagorean theorem. If the lengths of the sides of the rectangle are given as a and b, the length of the diagonal AC can be found using the formula:
AC = √(a^2 + b^2)
Similarly, the length of the diagonal BD can also be calculated using the same formula.
Please note that the formula assumes that the rectangle is a right-angled rectangle (a rectangle with right angles). If the rectangle is not right-angled, the formula may not apply.
I hope this helps! Let me know if you have any further questions.


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