Question

Please help me

Answer 1

Answer:

x = $\sqrt{3}$

Step-by-step explanation:

the ratio of side to hypotenuse in a right triangle is 1 : $\sqrt{2}$

in this problem we can use 'x' in place of 1 and $\sqrt{6}$ in place of $\sqrt{2}$ to create a proportion like this:

1/x = $\sqrt{2}$/$\sqrt{6}$

cross-multiply to get:

$\sqrt{2}$·x = $\sqrt{6}$

x = $\frac{\sqrt{6}}{\sqrt{2}}$

x = $\sqrt{3}$