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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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