Answer:
B. 6
Detailed explanation:
Alright, so using the Pythagorean theorem, [tex]c^{2} =a^{2} +b^{2} [/tex] in this case, we have the "c" and "b" of the triangle. Therefor, we are looking for "a"
so, to solve the problem, simply begin by substituting what you already have:
[tex]10^{2} =a^{2} +8^{2} [/tex]
Now that this is substituted, The next step is to go ahead and find the values after solving the exponents:
[tex]10^{2} =100\\
8^{2}=64[/tex]
Now, we need to find the value of "a".
In this case, we are provided with 4 options and one of them has to be correct.
If "a"=12 then "a squared" would equal 144.
the statement 100=144+64 is incorrect.
If "a"=6 then "a squared" would be 36.
The statement 100=36+64 is correct.
If "a"=36 the "a squared" would be 1296.
The statement 100=1296+64 is incorrect.
If "a"=18, then "a squared" would be 324.
The statement 100=324+64 is incorrect.
Therefor, the answer is B.6
Hope this helps ^-^
