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Irina18 [472]
3 years ago
6

Find u. write your answer in simplest radical form

Mathematics
1 answer:
natima [27]3 years ago
5 0

Answer:

<em>u=6</em>

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.

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