Question

The side lengths of a 45-45-90 triangle are in the ratio

Answer 1

First, let's draw a triangle with these angles and ratios:

The sine relation is equal to the length of the opposite leg to the angle over the length of the hypotenuse.

So the sine of 45° is:

`\begin{gathered} \sin45°=(x)/(x√(2))\\ \\ \sin45°=(1)/(√(2))\\ \\ \sin45°=(√(2))/((√(2))^2)\\ \\ \sin45°=(√(2))/(2) \end{gathered}`

Therefore the correct option is C.