Answer:
[tex]4\sqrt{5}[/tex] = 8.94
Step-by-step explanation:
To solve this problem, use the Pythagorean theorem;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs of the right triangle ( the sides that are adjacent to the right angle of a right triangle), and "c" is the hypotenuse, the side that is opposite the right angle.
In the problem, the measure of each leg is given;
[tex]a = 4, \\b = 8[/tex]
Now all one has to do is substitute these values into the formula and solve;
[tex]a^{2} + b^{2} = c^{2}\\4^{2} + 8^{2} = c^{2}\\16 + 64 = c^{2}\\80 = c^{2}\\\sqrt{80} = c\\4\sqrt{5} = c[/tex]
