Question:
Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?
Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD?
Updated On: Sep 30, 2024
- 24,10
- 25,9
- 24,12
- 25,10
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The Correct Option is A
Solution and Explanation
The correct answer is (A):
We know that AC is the diameter and ∠ ABC = 90°. AC = 2*13 = 26 cm
In right angle triangle ABC,
AC2 = AB2 + BC2
⇒ AB2 + BC2 = 262
⇒ AB2 + BC2 = 676
Let us check with the options.
Option (A): 242 + 102 = 676
Option (B): 252 + 92 = 706 ≠ 676
Option (C): 252 + 102 = 725 ≠ 676
Option (D): 242 + 122 = 720 ≠ 676.
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