Question

what is the length of the leg of a 45 - 45 - 90? * 1 point x $x\sqrt{2}$ $x\sqrt{3}$ $2x$

Explanation:

Step1: Recall the properties of a 45 - 45 - 90 triangle

In a 45 - 45 - 90 triangle, the legs are of equal length. Let the length of each leg be \(a\) and the hypotenuse be \(c\). By the Pythagorean theorem \(a^{2}+a^{2}=c^{2}\), which simplifies to \(2a^{2}=c^{2}\) or \(c = a\sqrt{2}\). The ratio of the sides of a 45 - 45 - 90 triangle is \(1:1:\sqrt{2}\). So the length of each leg is \(x\) (where \(x\) is a non - negative real number representing the side - length multiplier).

Answer:

\(x\)