help ?!?
What step is needed when constructing a circle inscribed in a triangle?

Construct the angle bisectors of each angle in the triangle.

Construct the perpendicular bisectors of each side of the triangle.

Construct the midpoints of each side of the triangle.

Construct the altitude of each angle in the triangle.

Respuesta :

Correct answer is A.

Points on angle bisectors are equidistant from sides of a triangle. Since angle bisectors of a triangle meet in a point, that point is equidistant from all three sides of a triangle. Therefore, it is the center of a circle inscribed in a triangle.

Answer: Construct the perpendicular bisectors of each side of the triangle.

Step-by-step explanation: I took the test answering this question with “construct the angle bisectors of each angle in the triangle,” and I got it wrong: “construct the perpendicular bisectors of each side of the triangle” is the correct answer. I hope this helped.