Question

Find the value of x. Assume that all segments that appear to be tangent.5.68.4

Answer 1

11.2

Step-by-step explanation:

We can use the Pythagorean theorem to solve for x as shown below;

`(5.6+8.4)^2=x^2+8.4^2`
`\begin{gathered} 14^2=x^2+70.56 \\ x^2=196-70.56 \\ x^2=125.44 \end{gathered}`

We can now take the square root of both sides of the equation;;

`\begin{gathered} x=\sqrt[]{125.44} \\ x=11.2 \end{gathered}`