Answer:
19 Five is not tangent to the circle.
20 Eight is tangent to the circle.
Step-by-step explanation:
In order for one of the legs to be a tangent to a circle, the length must be part of a right angle triple.
I don't think the diagram on the left is, but I'll check it.
5^2 + 12^2 =
25 + 144 =
169
square root of 169 is 13
The length of the hypotenuse should be 13 not 14. Fourteen does not make Pythagorean triple. 13 would. So the line 5 units long does not make a tangent to the given circle.
The diagram on the right is a different story. 6 8 and 10 do make a Pythagorean triple, even though the two diagrams are not the same.
The radius and the distance to the external point form a right angle.
The Pythagorean triple is
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
