Answer:
The line AB is not tangent to circle O
Step-by-step explanation:
we know that
If AB is tangent to circle O at point B
then
AB is perpendicular to OB (radius) and ABO is a right triangle
Verify
Applying the Pythagorean Theorem
[tex]AO^2=AB^2+OB^2[/tex]
substitute the given values
[tex]8^2=7^2+3.75^2[/tex]
[tex]64=49+14.0625[/tex]
[tex]64=63.0625[/tex] -----> is not true
so
The triangle not satisfy the Pythagorean Theorem
therefore
The line AB is not tangent to circle O
