Question

Determine if line AB is tangent to the circle. If so, then explain why.

A) No, it is not tangent to the circle.
B) Yes, it is tangent to the circle because the inscribed angle relationship holds true.
C) Yes, it is tangent to the circle because the pythagorean theorem holds true.
D) Yes, it is tangent to the circle because the interior/exterior segment relationship holds true.

Answer 1

The answer is C) Yes, it is tangent to the circle because the pythagorean theorem holds true.

Explanation:

Answer 2

Option A.

Explanation:

we know that

If AB is tangent to the circle

then

The triangle show in the figure must be a right triangle

Remember that

If a triangle is a right triangle, then the triangle must satisfy the Pythagorean Theorem

Verify

Applying the Pythagorean Theorem

`17^2=10.2^2+6.8^2`

`289=104.04+46.24`

`289=150.28` -----> is not true

so

Is not a right triangle

therefore

line AB is not tangent to the circle