Question

NEED HELP ASAP PLEASEE

Answer 1

The line is tangent.

Explanation:

For the line to be tangent ∠NLM must be 90°.

Because we only have side lengths we can use Pythagorean theorem to prove that ΔNLM is a right triangle making ∠NLM a right angle.

Pythagorean theorem states:

`a^(2) +b^(2) =c^(2)`

Substitute values

Because side NM is opposite ∠LNM if the triangle is a right triangle that would be the hypotenuse so we will use that value for c^2. Variable a and b are interchangeable.

`6^(2) + 8^(2) = 10^2`

`36 + 64 = 100`

Add

`100 = 100`

Because 100 does equal 100 ΔLNM is a right triangle making ∠LNM a right angle so therefore line LM is tangent to the circle.