missing side is [tex]x} = 10.15[/tex] mi .
Step-by-step explanation:
Here we have the following info from the figure: A right angled triangle with following dimensions
[tex]Perpendicular = x[/tex]
[tex]base = \sqrt{122}[/tex]
[tex]Hypotenuse = 15[/tex]
By Pythagoras Theorem :
[tex]Hypotenuse^2 = Perpendicular^2 + base^2[/tex]
⇒ [tex]Hypotenuse^2 = Perpendicular^2 + base^2[/tex]
⇒ [tex]15^2 = x^2 + (\sqrt{122})^2[/tex]
⇒ [tex]225 = x^2 + 122[/tex]
⇒ [tex]x^2 = 225-122[/tex]
⇒ [tex]x^2 = 103[/tex]
⇒ [tex](x^2)^\frac{1}{2} = (103)^\frac{1}{2}[/tex]
⇒ [tex]x} = (103)^\frac{1}{2}[/tex]
⇒ [tex]x} = 10.15[/tex]
Therefore, missing side is [tex]x} = 10.15[/tex] mi .
