Answer:
[tex]\sqrt{\frac{5}{2} }[/tex]
Step-by-step explanation:
We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).
The sides are a, b (which equals a) and, c (which equals a*square root of 2).
In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex]. Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]
