Question

. Find x. S 7.5 9 R 3.5 A XT

Answer 1

x = 7

Step-by-step explanation:

The triangle inequality says that if we have a triangle of side lengths a, b, and c, then any of the following is true

`\begin{gathered} a+b>c \\ a+c>b \\ b+c>a \end{gathered}`

In other words, the sum of any two side lengths is always greater than the third.

Now in our case, this means

which simplifies to give

`16=x+9`

subtracting 9 from both sides gives

`16-9=x+9-9`
`\boxed{x=7.}`

which is our answer!