SOLUTION: A triangle has a side of length 3, a side of length 4, and a side of length x. The possible values of x are

Question 629111: A triangle has a side of length 3, a side of length 4, and a side of length x. The possible values of x are

Found 2 solutions by mmuzammil619, 303795:
Answer by mmuzammil619(2) (Show Source): You can put this solution on YOUR website!
The possible values of x might be 5

The reason why I am saying that x is 5 is because by using the Pythagoras Theorem. According to that law, it states that Hypotenuse^2 = base^2 + altitude^2..
So with that formula, I applied the probable answer which can be possible.
=) 3^2 + 4^2
=) 9 + 16
=) 25

Therefore the square root of 25 is the answer.. That is five..

Thank you...
Hope that answers your question..

Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
The largest the third side could be has to be less than 7. If it is larger than 7 then the other two sides cannot join each other. If it is 7 then you have a line (with a 3 and a 4 on top of it) rather than a triangle.
The smallest that the third side could be is larger than 1. If it is smaller than one then it cannot join onto the side of length 3 to make a total length of 4. Again if it is 1 you have a line (4 long with the 1 and 3 on top of it) rather than a triangle.
So x can be any size between 1 and 7 not including 1 or 7
i.e. 1 < x < 7

RELATED QUESTIONS
this problem has a pair of similiar triangles one inside the other and it reads like... (answered by edjones)
Two sides of a triangle are 11 centimeters and 14 centimeters. What are all possible... (answered by ikleyn)
Triangle ABC is a right triangle. Side AC has a length of 8M and side BC has a length of... (answered by Cromlix)
The length of two of the sides of a certain triangle are (x-3) and (x+3) where x>3. Which (answered by JBarnum)
is there a triangle that has one side of length 4 inches, one side of length of 2 inches, (answered by richard1234)
A right triangle has a hypotenuse length of 12, and one side length of 9. Find the... (answered by Alan3354,erica65404,stanbon)
Is there a triangle that has one side of length 4 inches, one side of length 2 inches,... (answered by Alan3354)
Is there a triangle that has one side of length 4 inches, one side of length 2 inches,... (answered by richwmiller)
One side of a triangle has a length of 9 and the other two sides are equal. If the side... (answered by math_helper,Alan3354)