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Whitepunk [10]
3 years ago
13

Determine if line AB is tangent to the circle. Please help!!

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

B. Tangent

Step-by-step explanation:

Tangent always makes 90 degree angle with the radius. Now in triangle let's see if it's right angled triangle or not.

To confirm if it's a right angled triangle it should follow Pythagoras Theorem.

Which states square of hypotenuse = sum of squares of other two legs

12 {}^{2}  + 16 {}^{2}  = 20 { }^{2}  \\ 144 + 256 = 400 \\ 400 = 400

it proves that it's a right angled triangle. Hence AB is a tangent to circle.

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Answer:

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<h3>Answer: C) incenter</h3>

========================================

Explanation:

If you were to intersect the angle bisectors (at least two of them), then you would locate the incenter. The incenter is the center of the incircle which is a circle where it is as large as possible, but does not spill over and outside the triangle. Therefore this circle fits snugly inside the triangle.

--------------

extra notes:

* The centroid is found by intersecting at least two median lines

* The circumcenter is found by intersecting at least two perpendicular bisector lines

* The orthocenter is found by intersecting at least two altitude lines

* The incenter is always inside the triangle; hence the "in" as part of the name. The centroid shares this property as well because the medians are completely contained within any triangle. The other two centers aren't always guaranteed to be inside the triangle.

* The red lines cut each angle of the triangle into two equal or congruent pieces.

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