2 answers:
Answer:
AC = 12
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
AC ^2 + AB ^2 = CB^2
AC ^2 +35^2 = 37^2
AC ^2 +1225=1369
Subtract 1225
AC^2 = 1369-1225
AC ^2 =144
Take the square root of each side
AC = sqrt(144)
AC = 12
Answer:
Radius AC=12
Step-by-step explanation:
AB is a tangent to circle c so the tangent AB is perpendicular to the radius at A.
Then triangle ABC is right triangle at A.
So by Pythagoras theorem,
CB^2=AB^2 + AC^2
37^2= 35^2 + AC ^2
1369=1225 + AC^2
AC^2= 1369-1225= 144
AC=radical AC^2 =radical 144=12
Hope this helps...
(Note: ^ means power)
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