Answer:
[tex] 4 \sqrt{5} [/tex]
Step-by-step explanation:
We know the Pythagorean theorem:
[tex] a^2 + b^2 = c^2 [/tex]
And we need to solve for [tex] c [/tex] when [tex] b = 8 [/tex] and [tex] a = 4 [/tex]. Plug in the given values:
[tex] 4^2 + 8^2= c^2 [/tex]
[tex]16+ 64 = c^2 [/tex]
[tex] 80 = c^2 [/tex]
Now, to find [tex] c [/tex], take the square root of both sides:
[tex] c = \sqrt{80} [/tex]
[tex] c = \sqrt{16 \times 5} [/tex]
[tex] c = 4 \sqrt{5} [/tex]
So, the solution for [tex] c [/tex] is [tex] 4 \sqrt{5} [/tex].
