Answer:
The answer is 8.
Step-by-step explanation:
Keep in mind that the Pythagorean Theorem is what you need to use to answer this. So, your equation would first start out as:
[tex](OR)^{2} + (AR)^{2} = (OB)^{2}[/tex]
Then you'll put the numbers into the equation:
[tex](OR)^{2} + (6)^{2} =(10)^{2}[/tex]
Then you simplify:
[tex](OR)^{2} +36 + 100[/tex]
You'll then want to subtract:
[tex]100-36[/tex]
And your answer will be:
[tex]64[/tex]
People tend to think they're done with the problem and just think that 64 id the answer, however, it's not. You have to find the square root first.
[tex](OR)^{2} = \sqrt{64}[/tex]
[tex](OR)^2 = 8[/tex]
Therefore, your answer will be 8.
Hope this helped.
