Question

Find u. write your answer in simplest radical form

Answer 1

Answer:

u=6

Step-by-step explanation:

Use the 45°-45°-90° triangle theorem:

$hypotenuse=\sqrt{2}*leg$

Insert the values:

$6\sqrt{2} =\sqrt{2}*u$

Solve for u. Divide both sides by $\sqrt{2}$ and rationalize:

$\frac{6\sqrt{2} }{\sqrt{2} } =\frac{\sqrt{2}*u }{\sqrt{2} }\\\\\frac{6\sqrt{2} }{\sqrt{2}} =u\\\\\frac{\sqrt{2}}{\sqrt{2}}*\frac{6\sqrt{2}}{\sqrt{2}}\\\\\frac{6\sqrt{4}}{\sqrt{4}}\\\\\frac{6*2}{2} \\\\6=u$

Finito.