Answer: both legs have length of 4√2
Step-by-step explanation:
An isosceles right triangle is a 45°-45°-90° that has corresponding side lengths of "a - a - a√2"
Since the 90° (hypotenuse) has a length of 8, then we can divide by √2 to find the lengths of the legs.
[tex]a\sqrt{2} =8\\\\\dfrac{a\sqrt2}{\sqrt2}=\dfrac{8}{\sqrt2}\\\\\\a=\dfrac{8}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\a = \dfrac{8\sqrt2}{2}\\\\a=4\sqrt2[/tex]
