In a rectangle, length : breadth = 4 : 3. What is the value of length : diagonal?
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A.
4:5
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B.
4:7
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C.
1:5
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D.
2:3
Correct Answer:
A. 4:5
Explanation:
In a rectangle, the relationship between the length, breadth, and diagonal can be determined using the Pythagorean theorem, where the square of the diagonal equals the sum of the squares of the length and breadth. Given the ratio of length to breadth is 4:3, we can represent them as 4x and 3x. Calculating the diagonal results in the square root of (16x squared + 9x squared), which simplifies to 5x. Therefore, the ratio of the length (4x) to the diagonal (5x) is 4:5.
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