Answer:
10.95 or [tex]2\sqrt{30}[/tex]
Step-by-step explanation:
The Pythagorean Theorem is as follows:
[tex]a^{2}+ b^{2}= c^{2}[/tex]
A and B represent the legs of the triangle, and C represents the hypotenuse.
For this problem, it gives us the legs. So, we have to find the hypotenuse.
Plug the values of the legs into the equation:
[tex]6^{2} +8^{2}= c^{2}[/tex]
Now solve the equation to find the hypotenuse:
[tex]36 + 64 = c^{2}[/tex] Distribute the squares
[tex]120 = c^{2}[/tex] Add
[tex]\sqrt{120}= \sqrt{c^{2} }[/tex] Square root both sides
c = 10.95 or [tex]2\sqrt{30}[/tex]
Therefore the length of the missing leg is 10.95 or [tex]2\sqrt{30}[/tex].
Hope this helps!! Ask questions if you need!
