Answer: 5..6 in.
Step-by-step explanation:
Given
Hypotenuse of isosceles triangle is 8 inches
In isosceles triangle two sides are equal
Suppose the other side is x
Using Pythagoras we can write
[tex]\Rightarrow x^2+x^2=8^2\\\Rightarrow 2x^2=64\\\Rightarrow x^2=32\\\Rightarrow x=4\sqrt{2}\approx 5.6\ in.[/tex]
Therefore, the lengths of the legs is 5.6 inches
