Step 1
Using a straightedge, draw an obtuse triangle. Label the vertices as A, B, and C.
Step 2
Draw the perpendicular bisector of side AC¯¯¯¯¯¯¯¯.
Place the compass point on A, then set the width of the compass so that the distance is slightly longer than half the length of AC¯¯¯¯¯¯¯¯. Then draw an arc that passes through AC¯¯¯¯¯¯¯¯ and has endpoints above and below point A.
Keep the compass setting and place the point of the compass at point C, then draw an arc that passes through AC¯¯¯¯¯¯¯¯ and has endpoints above and below point C. The intersection of these arcs constructs two points. Label these points D and E.
Using a straightedge, draw DE¯¯¯¯¯¯¯¯.
Step 3
Draw the perpendicular bisector of side BC¯¯¯¯¯¯¯¯.
Place the compass point on B, then set the width of the compass so that the distance is slightly longer than half the length of BC¯¯¯¯¯¯¯¯. Then draw an arc that passes through BC¯¯¯¯¯¯¯¯ and is above and below point B.
Keep the compass setting and place the point of the compass at point C, then draw an arc that passes through BC¯¯¯¯¯¯¯¯ and is above and below point B. The intersection of these arcs constructs two points. Label these points F and G.
Using a straightedge, draw FG¯¯¯¯¯¯¯¯.
Step 4
Mark the intersection of DE¯¯¯¯¯¯¯¯ and FG¯¯¯¯¯¯¯¯. Label this point H. Then place the point of the compass at point H, and set the width of the compass to one of the vertices of △ABC and draw a circle. If you did the construction correctly, this circle intersects each vertex of the triangle.

Question

12-04-2024
Mathematics

contestada

Step 1
Using a straightedge, draw an obtuse triangle. Label the vertices as A, B, and C.
Step 2
Draw the perpendicular bisector of side AC¯¯¯¯¯¯¯¯.
Place the compass point on A, then set the width of the compass so that the distance is slightly longer than half the length of AC¯¯¯¯¯¯¯¯. Then draw an arc that passes through AC¯¯¯¯¯¯¯¯ and has endpoints above and below point A.
Keep the compass setting and place the point of the compass at point C, then draw an arc that passes through AC¯¯¯¯¯¯¯¯ and has endpoints above and below point C. The intersection of these arcs constructs two points. Label these points D and E.
Using a straightedge, draw DE¯¯¯¯¯¯¯¯.
Step 3
Draw the perpendicular bisector of side BC¯¯¯¯¯¯¯¯.
Place the compass point on B, then set the width of the compass so that the distance is slightly longer than half the length of BC¯¯¯¯¯¯¯¯. Then draw an arc that passes through BC¯¯¯¯¯¯¯¯ and is above and below point B.
Keep the compass setting and place the point of the compass at point C, then draw an arc that passes through BC¯¯¯¯¯¯¯¯ and is above and below point B. The intersection of these arcs constructs two points. Label these points F and G.
Using a straightedge, draw FG¯¯¯¯¯¯¯¯.
Step 4
Mark the intersection of DE¯¯¯¯¯¯¯¯ and FG¯¯¯¯¯¯¯¯. Label this point H. Then place the point of the compass at point H, and set the width of the compass to one of the vertices of △ABC and draw a circle. If you did the construction correctly, this circle intersects each vertex of the triangle.

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semsee45 semsee45 · Answer 1 · 2024-04-12T10:00:22+02:00

Answer:

See attachments.

Step-by-step explanation:

Step 1

An obtuse triangle is a triangle in which one of its angles measures more than 90°. Draw an obtuse triangle ABC, where the angle at vertex C is greater than 90°. (See attachment 1).

Step 2

A perpendicular bisector is a line or segment that intersects another line segment at a 90° angle and divides it into two equal parts. Follow the given instructions to draw the perpendicular bisector of side AC. (See attachment 2).

Step 3

Follow the given instructions to draw the perpendicular bisector of side BC. (See attachment 3).

Step 4

Follow the given instructions and label the point of intersection of DE and FG as point H. Place the point of the compass at point H, and set the width of the compass to one of the vertices of △ABC and draw a circle. This circle intersects each vertex of the triangle and is called the circumcircle. (See attachment 4).