Answer:
5.3
Step-by-step explanation:
Using the Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex] with the length of the two legs of the right triangle for a and b and the hypotenuse length for c, you can solve this equation.
First, lets call the unknown side x. Plugging in all of the value we have into the equation we get [tex]x^{2} +6^{2}=8^{2}[/tex]. This is the same as [tex]x^{2} +36=64[/tex].
The next step is to solve for x. Subtract 36 from both sides of the equation to get [tex]x^{2} =28[/tex]. Then, take the square root of both sides to get [tex]x=\sqrt{28}[/tex].
Finally, since you need a rational answer, put [tex]\sqrt{28}[/tex] into a calculator and round to the nearest tenth for 5.3
