Answer: [tex]\bold{12\sqrt2}[/tex]
Step-by-step explanation:
A 45-45-90 triangle has corresponding sides of: a - a - a√2
Since the side that corresponds to the 90° angle = a√2, then
[tex]a\sqrt2=24\\\\a=\dfrac{24}{\sqrt2}\\\\\\.\ =\dfrac{24}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\,\ =\dfrac{24\sqrt2}{2}\\\\\\.\ =\boxed{12\sqrt2}[/tex]
