Question

Find x in this 45°-45°-90° triangle.

Answer 1

the diagonal is the side times \(\sqrt2\) \that means \[x\times \sqrt2=12\] making \[x=\frac{12}{\sqrt2}\]

Answer 2

you probably have to rationalize the denominator

Answer 3

do you know how to do that?

Answer 4

I don't. this is from a year ago and my school is making me do it again. if you dont mind could you go step by step for me?

Answer 5

sure

Answer 6

to get the radical out of the denominator in \(\frac{12}{\sqrt2}\) multiply by \(\frac{\sqrt2}{\sqrt2}\) i.e. \[\frac{12}{\sqrt2}\times \frac{\sqrt2}{\sqrt2}\]

Answer 7

you get \[\frac{12\sqrt2}{2}\] then reduce the fraction

Answer 8

do i solve 12 square root 2? or leave it alone?

Answer 9

you do not "solve" anything, you reduce the fraction

Answer 10

divide 12 by 2 in other words

Answer 11

6 square root 2?

Answer 12

yes

Answer 13

you notice that should fit nicely in to your template

Answer 14

Thank you so much