To determine the value of x, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have sides with lengths 3, 5, and x. We can set up the following inequalities:
3 + 5 > x
8 > x
5 + x > 3
x > -2
Using these inequalities, we can determine that x must be greater than -2 and less than 8.
However, since x cannot be negative in the context of a triangle, we can conclude that x must be between 0 and 8.
Among the given answer choices:
A. 8 - This satisfies the condition that x must be between 0 and 8.
B. 16 - This is greater than 8 and thus does not satisfy the condition.
C. 4 - This satisfies the condition that x must be between 0 and 8.
Therefore, the solution is x = 8 choice A and x = 4 choice C.
Solve for x
3,5,x sides of triangle
Answers
A.8
B.16
C.4
1 answer