Question

what is the length of the other leg of a 45 - 45 - 90?

x

x\sqrt{2}

x\sqrt{3}

2x

Explanation:

Step1: Recall properties of 45 - 45 - 90 triangle

In a 45 - 45 - 90 triangle, the two legs are of equal length. Let one leg be \(x\).

Step2: Analyze given options

Since the two legs are equal, if one leg is \(x\), the other leg is also \(x\). The hypotenuse of a 45 - 45 - 90 triangle is \(x\sqrt{2}\), \(x\sqrt{3}\) is for a 30 - 60 - 90 triangle, and \(2x\) is not a property of a 45 - 45 - 90 triangle for legs.

Answer:

\(x\) (the option with value \(x\))