Question

Please help me find the value of x. ​

Answer 1

`\huge\boxed{\sqrt5}`

To find the value of
`x`, we'll use the Pythagorean theorem.

The following formula applies, with the lengths of the sides with the right angle being
`a` and
`b`, and the hypotenuse being
`c`:

`a^2+b^2=c^2`

Substitute the values in.

`x^2+(√(11))^2=4^2`

Square the numbers as possible.

`x^2+11=16`

Subtract 11 from both sides of the equation.

`x^2=5`

Take the square root of both sides of the equation to solve for
`x`.

`x=\sqrt5`