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The three sides of a triangle measure x - 2, x + 1, and x +
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07 May 2019, 10:18
07 May 2019, 10:18
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The three sides of a triangle measure x - 2, x + 1, and x + 2. Which of the following could x not equal?
A. 19
B. 17
C. 8
D. 4
E. 3
A. 19
B. 17
C. 8
D. 4
E. 3
Re: The three sides of a triangle measure x - 2, x + 1, and x +
[#permalink]
18 Apr 2020, 02:19
18 Apr 2020, 02:19
1
a+b>c
where a,b and c are the sides of a triangle
Sum of two sides of the triangle will always be greater than the 3rd side.
Reference : https://www.mathwarehouse.com/geometry/ ... lained.php
So, in option E substitute x=3
Then the sides are
1, 4, 5
1+4=5
Sum of two sides of the triangle will always be greater than the 3rd side.
Which is not true for option E
So, E is the Answer.
where a,b and c are the sides of a triangle
Sum of two sides of the triangle will always be greater than the 3rd side.
Reference : https://www.mathwarehouse.com/geometry/ ... lained.php
So, in option E substitute x=3
Then the sides are
1, 4, 5
1+4=5
Sum of two sides of the triangle will always be greater than the 3rd side.
Which is not true for option E
So, E is the Answer.
Re: The three sides of a triangle measure x - 2, x + 1, and x +
[#permalink]
03 May 2020, 09:33
03 May 2020, 09:33
Sanpreet wrote:
a+b>c
where a,b and c are the sides of a triangle
Sum of two sides of the triangle will always be greater than the 3rd side.
Reference : https://www.mathwarehouse.com/geometry/ ... lained.php
So, in option E substitute x=3
Then the sides are
1, 4, 5
1+4=5
Sum of two sides of the triangle will always be greater than the 3rd side.
Which is not true for option E
So, E is the Answer.
where a,b and c are the sides of a triangle
Sum of two sides of the triangle will always be greater than the 3rd side.
Reference : https://www.mathwarehouse.com/geometry/ ... lained.php
So, in option E substitute x=3
Then the sides are
1, 4, 5
1+4=5
Sum of two sides of the triangle will always be greater than the 3rd side.
Which is not true for option E
So, E is the Answer.
but for option E , when sides are 1,4 and 5
5+4=9>1 , means this rule valid in one case of this triangle.
kindly explain where I'm lacking the main concept , thanks
