Question

In a 45°- 45°- 90° right triangle, one of the legs is 6 inches. How long are the other two sides?
i know for sure it will be 6 and a √2 unsure if there should be a 6 outside the sqrt

Answer 1

You could always try using Pythagorean theorem to confirm.

Answer 2

6 and
\[
6 \sqrt 2
\]

Answer 3

yeah pythagorean thank you

Answer 4

You're welcome. :)
Yeah, the general case can be found using Pythagorean as well:
\( h^2 = l^2 + l^2 \\ = 2l^2 \)
\(h = \sqrt{2l^2}\\ = l\sqrt{2} \)