Posted by Nina on Thursday, June 23, 2011 at 8:49am.
If the sides of a triangle have measurements 3x + 4 , 6x  1, and 8x + 2, find all possible values of x.
I also need help with this question please

Geometry Help!!!!!!!!!!  Anonymous, Thursday, June 23, 2011 at 9:01am
All sides must be greater of zero.
3x+4 always>0
8x+2 always>0
Only side: 6x1 can be negative.
That's why:
6x1>0
6x>1 Divide both sides with 6
x>1/6

Geometry Help!!!!!!!!!!  Nina, Thursday, June 23, 2011 at 9:10am
Thanks anyway but that isn't one of the choices the answer is x> 3/11 i figured it out thanks for trying :)

Geometry Help!!!!!!!!!!  Istan, Thursday, June 23, 2011 at 9:15am
Anonymus solution not completely.
All sides must be greater of zero:
3x+4>0
3x> 4 Divide with 3
x> 4/3
6x1>0
6x>1 Divide with 6
x>1/6
8x+2>0
8x> 2 Divide with 8
x> 2/8
x> 1/4
Least of that numbers is 4/3= 1.3333
x> 4/3 is solution

Geometry Help!!!!!!!!!!  Istan, Thursday, June 23, 2011 at 9:24am
x>3/11 is also > 4/3
All x> 4/3 is choices

Not correct  Geometry Help!!!!!!!!!!  Reiny, Thursday, June 23, 2011 at 9:26am
The condition that all sides have to be positive, as Anonymous used, is not sufficient.
In any triangle the sum of 2 sides must be greater than the third side, so
3x+4 + 6x1 > 8x + 2 > x > 1
AND
3x+4 + 8x + 2 > 6x1 > x > 7/5
AND
8x + 2 + 6x  1 > 3x+4 > x > 3/11
the intersection of all three conditions is
x > 3/11
To show that Anonymous is incorrect, pick a value of x between his/her answer of 1/6 and mine of 3/11
e.g. x = 11/50
3x+4 > 4.66
6x1 > .32
8x+2 > .24 , contradiction
I have a value of x > 1/6 which did not work.
Answer This Question
Related Questions
 Math...Geometry  Hello, Can someone please tell me if I worked this out correct...
 Geometry  The question is as follows: Two sides of an isosceles triangle with ...
 Geometry  determine all possible values of x if 2x+10, 20x, and 3(x15) are ...
 Algebra  Need help with these 21. Find the possible values of a, of the ...
 Geometry  The lengths of the sides of a triangle are 3x, 5x – 12, and x + 20. ...
 geometry  the sides of an acute triangle are x, 35, and 37, where x is the ...
 geometry  The sides of an acute triangle are x, 35, and 37, where x is the ...
 GEOMETRY  Which of the following are measurements of the sides of a right ...
 geometry  Which of the following are measurements of the sides of a right ...
 Geometry  The parallelogram has the angle measuers shown. Can you conclude that...
More Related Questions