how do you draw an obtuse angle triangle, construct the perpendicular bisector of each side
Draw a triangle with one angle greater then 90 degrees. Find the midpoint of each side. Then draw a perpendicular to each side at each midpoint. The three lines may intersect OUTSIDE the triangle.
To draw an obtuse angle triangle and construct the perpendicular bisector of each side, follow these steps:
1. Start by drawing a line segment to represent one side of the triangle.
2. At one end of the line segment, use a protractor to measure an angle greater than 90 degrees. This will be the obtuse angle of the triangle.
3. From the other end of the line segment, draw another line segment at an arbitrary angle to form the second side of the triangle.
4. Use a ruler to connect the two ends of the line segments to form the third side of the triangle.
5. Once the obtuse angle triangle is drawn, find the midpoint of each side. To find the midpoint of a line segment, use a ruler to draw a line segment connecting the endpoints of the side, and then find the point where the two lines intersect. This point is the midpoint.
6. With each midpoint identified, draw a perpendicular line to each side of the triangle. To construct a perpendicular bisector, place the tip of the compass on the midpoint and draw an arc that intersects the line segment at two points. Repeat this process on the other side of the midpoint, creating another arc that intersects the line segment.
7. Keeping the same compass width, place the compass tip on one of the arc intersections and draw an arc that extends above and below the line segment.
8. Repeat the previous step using the other arc intersection.
9. Use a straightedge or ruler to connect the arc intersections above and below the line segment, creating a perpendicular line that passes through the midpoint.
10. Repeat steps 6 to 9 for the other two sides of the triangle.
11. Finally, label the points of intersection of the perpendicular bisectors, if any, outside the triangle.
Remember that when drawing the perpendicular bisectors, it's possible for the lines to intersect outside the triangle, especially if the triangle has an obtuse angle.