Answer:
x = 8
Step-by-step explanation:
You can solve this using the Pythagorean Theorem, which is:
[tex]a^2+b^2=c^2[/tex]
a and b are the two legs of a right triangle, and c is the hypotenuse.
Because the hypotenuse and one leg are given, we need to find the the other leg. Let's say that leg is a.
[tex]a^2+b^2=c^2[/tex]
Subtract [tex]b^2[/tex] to isolate [tex]a^2\\[/tex].
[tex]a^2 = c^2 - b^2\\[/tex]
Now, we can plug in the values that have been given to you.
[tex]x^2 = 100^2 - 6^2[/tex]
[tex]x^2 = 100 - 36[/tex]
[tex]x^2 = 64[/tex]
[tex]x^2 = \sqrt{64}[/tex]
[tex]x=8[/tex]
