Answer:
8.94 m
Step-by-step explanation:
Use the Pythagorean Theorum - [tex]a^2 + b^2 = c^2[/tex]. Use leg 1 as a, leg 2 as b, and the third side as c.
We know leg 1 is 4, and that leg 2 is twice as long as leg 1...
[tex](4)^2 + (4*2)^2 = c^2[/tex]
Now, we use the Order of Operations to find [tex]c^2[/tex]...
[tex]4^2+8^2=c^2\\16+64=c^2\\80=c^2[/tex]
Now, we find the square root of [tex]c^2[/tex] to find c...
[tex]\sqrt{80} =8.94[/tex]
So, the length of the third side is 8.94 m.
