Question

Find u. write your answer in simplest radical form

Answer 1

u=6

Explanation:

Use the 45°-45°-90° triangle theorem:

`hypotenuse=√(2)*leg`

Insert the values:

`6√(2) =√(2)*u`

Solve for u. Divide both sides by
`√(2)` and rationalize:

`(6√(2) )/(√(2) ) =(√(2)*u )/(√(2) )\\\\(6√(2) )/(√(2)) =u\\\\(√(2))/(√(2))*(6√(2))/(√(2))\\\\(6√(4))/(√(4))\\\\(6*2)/(2) \\\\6=u`

Finito.