Question

Find the missing side of the triangle. Leave your answers in simplest radical form

Answer 1

missing side is
`x} = 12.53` mi .

Explanation:

Here we have the following info from the figure: A right angled triangle with following dimensions

`Perpendicular = x`

`base = 10`

`Hypotenuse = √(257)`

By Pythagoras Theorem :

`Hypotenuse^2 = Perpendicular^2 + base^2`

⇒
`Hypotenuse^2 = Perpendicular^2 + base^2`

⇒
`(√(257))^2 = x^2 + 10^2`

⇒
`257 = x^2 + 100`

⇒
`x^2 = 257-100`

⇒
`x^2 = 157`

⇒
`(x^2)^(1)/(2) = (157)^(1)/(2)`

⇒
`x} = (157)^(1)/(2)`

⇒
`x} = 12.53`

Therefore, missing side is
`x} = 12.53` mi .