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Re: If 10, 12 and ‘x’ are sides of an acute angled triangle, ho [#permalink]
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26 Mar 2017, 23:17
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Re: If 10, 12 and ‘x’ are sides of an acute angled triangle, ho [#permalink]
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27 Mar 2017, 10:06
praveenmittal95605 wrote:
sum of two sides greater than third side
12+10= 22 > x
x < 12-10 = 2
2 < x < 22
since this is acute angle triangle hence x > 12 therfore 12<x<22 => 9 values
Hence C
This is incorrect reasoning that by fluke happens to get the right answer. The correct range of 9 values is 7<=x<=15, and it is obtained by using the Pythagorean theorem. x = 21, for instance, would NOT give an acute triangle. Nor is it necessary for x to be the largest side. I hope this clarifies; there were a number of confused comments earlier in the thread. to reiterate, this answer is correct, but this solution, along with the x values it gives, is wrong.
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