Question

place the steps in correct order for constructing the circle that inscribes a triangle.
steps for constructing a circle that inscribes a triangle.
step 1
step 2
step 3
step 4
step 5
mark the point on the side through which this line passes
draw a line perpendicular to any side that passes through the intersection point.
draw the triangle
draw the angle bisector for each angle of the triangle
draw the circle with radius at the intersection point that passes through the point.

Explanation:

Step1: Draw the triangle

First, we need to have the triangle for which we are constructing the inscribed circle.

Step2: Draw the angle bisector for each angle of the triangle

The in - center (center of the inscribed circle) is the intersection of the angle bisectors of the triangle.

Step3: Draw a line perpendicular to any side that passes through the intersection point

This perpendicular distance from the in - center (intersection of angle bisectors) to a side of the triangle gives the radius of the inscribed circle.

Step4: Mark the point on the side through which this line passes

This marked point is used to determine the radius length.

Step5: Draw the circle with radius at the intersection point that passes through the point

Using the in - center (intersection of angle bisectors) as the center and the length from the in - center to the marked point (from step 4) as the radius, we draw the inscribed circle.

Answer:

Step 1: Draw the triangle
Step 2: Draw the angle bisector for each angle of the triangle
Step 3: Draw a line perpendicular to any side that passes through the intersection point
Step 4: Mark the point on the side through which this line passes
Step 5: Draw the circle with radius at the intersection point that passes through the point