Question:
Consider obtuse-angled triangles with sides \(8\) cm, \(15\) cm, and \(x\) cm, where \(x\) is integer. How many such triangles exist?
Consider obtuse-angled triangles with sides \(8\) cm, \(15\) cm, and \(x\) cm, where \(x\) is integer. How many such triangles exist?
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For obtuse triangles, check triangle inequality first, then apply \(c^2>a^2 + b^2\) condition.
Updated On: Jul 30, 2025
- 5
- 21
- 10
- 15
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The Correct Option is B
Solution and Explanation
Triangle inequality: \(x<23\), \(x>7\).
For obtuse: largest side squared \(> \) sum of squares of other two.
Check for \(x\) being largest side and for fixed largest \(15\).
Counting valid integer values gives 21 possible \(x\).
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