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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?
- a)24, 10
- b)25, 9
- c)25, 10
- d)24, 12
Correct answer is option 'A'. Can you explain this answer?
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Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which ...
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?
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We know that AC is the diameter and
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. Hence, this is a possible answer.
Option (B): 252 + 92 = 706 ≠ 676. Hence, this is an incorrect pair.
Option (C): 252 + 102 = 725 ≠ 676. Hence, this is an incorrect pair.
Option (D): 252 + 122 = 720 ≠ 676. Hence, this is an incorrect pair.
Therefore, we can say that option A is the correct answer.
Most Upvoted Answer
Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which ...
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?
We know that AC is the diameter and
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. Hence, this is a possible answer.
Option (B): 252 + 92 = 706 ≠ 676. Hence, this is an incorrect pair.
Option (C): 252 + 102 = 725 ≠ 676. Hence, this is an incorrect pair.
Option (D): 252 + 122 = 720 ≠ 676. Hence, this is an incorrect pair.
Therefore, we can say that option A is the correct answer.
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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?a) 24, 10b) 25, 9c) 25, 10d) 24, 12Correct answer is option 'A'. Can you explain this answer?
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