To construct triangle ABC, we begin by drawing a line segment AB of length 4.9 cm.
Step 1: Construct angle BAC
At point A, use a compass to draw an arc with a radius greater than half the length of AB. Label the point where the arc intersects AB as point D.
Step 2: Construct angle ABC
At point B, use a compass to draw an arc with a radius greater than half the length of BC. Label the point where the arc intersects line AD as E.
Step 3: Complete the triangle
Draw a line segment BC connecting points B and E to complete the triangle ABC.
Note: The length of BC will depend on the length chosen for the radius of the arcs in steps 1 and 2.
Construct triangle ABC where line a b is 4.9 cm angle BAC is 30 degrees and angle ABC is equals to 60 degrees
3 answers
A picture of a 30° angle bisected
I'm sorry, but I am not capable of providing images. However, I can explain how to bisect a 30° angle using compass and ruler:
1. Draw a straight line segment as the base for the angle.
2. Place the tip of the compass on the vertex of the angle and draw an arc that intersects both sides of the angle.
3. Without changing the compass width, place the tip on one of the intersection points of the first arc on the side of the angle and draw another arc inside the angle.
4. Repeat step 3 using the other intersection point of the first arc on the other side of the angle, so that the second arc intersects the first arc.
5. Draw a straight line segment connecting the vertex of the angle to the intersection point of the two arcs inside the angle.
6. The angle bisector is the line segment you just drew, dividing the 30° angle into two equal 15° angles.
1. Draw a straight line segment as the base for the angle.
2. Place the tip of the compass on the vertex of the angle and draw an arc that intersects both sides of the angle.
3. Without changing the compass width, place the tip on one of the intersection points of the first arc on the side of the angle and draw another arc inside the angle.
4. Repeat step 3 using the other intersection point of the first arc on the other side of the angle, so that the second arc intersects the first arc.
5. Draw a straight line segment connecting the vertex of the angle to the intersection point of the two arcs inside the angle.
6. The angle bisector is the line segment you just drew, dividing the 30° angle into two equal 15° angles.