Final answer:
Without more information, we cannot determine the value of x in the triangle with sides 5.58, 15.2, and 9.14. Assuming x is a side length and using Pythagorean theorem is not possible without confirming the triangle is right-angled. The referenced use of the quadratic equation provides a solution for x, but it cannot be confirmed without the original equation.
Step-by-step explanation:
To find the value of x in a triangle with sides 5.58, 15.2, and 9.14, we can assume that this is a right-angled triangle, where these sides could represent the lengths of the sides opposite to the angles, the adjacent sides, or the hypotenuse. However, the information given is insufficient to determine the value of x directly as it is not clear which side x represents or the specific relationship between x and the side lengths.
In a scenario where one side represents x and we have additional information like an angle or the triangle follows a specific rule such as the Pythagorean theorem, we could apply relevant trigonometric identities or the theorem itself to solve for x. As an example, if the sides given are the lengths of a right triangle and the longest side, 15.2, is the hypotenuse, the other two sides are the legs, and we can apply the Pythagorean theorem to find out if this is true. Unfortunately, without more information or context, we cannot calculate the value of x in this triangle.
If we look at the provided reference to use the quadratic equation, it suggests that an equation of the form x2 + bx + c = 0 was solved and the relevant solutions for x are given as x = -0.0024 and x = 0.00139. The negative solution can be discarded for a length, leaving x = 0.00139 as a potential solution. However, without the original equation linking the side lengths and x, we cannot confirm whether this value is related to the triangle mentioned in the original question.