Answer:
[tex]\boxed{\tt x=\sqrt{85} }[/tex]
Step-by-step explanation:
When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"
To find the distance we can use the Pythagorean theorem.
[tex]\boxed{{\tt a^2+b^2=c^2}}[/tex]
→ [tex]\tt a=9[/tex]
→ [tex]\tt b=2[/tex]
→ [tex]\tt c=x[/tex]
Let's Plug in the side lengths:
- [tex]\tt 9^2+2^2=x^2[/tex]
Evaluate 9²= 81 and 2²= 4:
Now, add 81+4= 85
Take the square root of both sides:
- [tex]\tt x=\sqrt{85}[/tex]
_____________________________
