Construct triangle ABC where line a b is 4.9 cm angle BAC is 30 degrees and angle ABC is equals to 60 degrees
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.
A picture of a 30° angle bisected
To construct triangle ABC, follow these steps:
1. Start by drawing a line segment AB of length 4.9 cm.
2. Place the compass at point A and draw an arc of any radius that intersects line AB at point D.
3. Without changing the compass width, place the compass at point B and draw an arc that intersects line AB at point E.
4. Without changing the compass width, place the compass at point D and draw an arc that intersects the arc from step 3 at point F.
5. Draw a line segment from point E to point F. This line segment should intersect line AB at point C.
6. Draw a line segment from point C to point A.
7. Label the points A, B, and C to complete the construction.
Now, you have successfully constructed triangle ABC with line segment AB measuring 4.9 cm, angle BAC measuring 30 degrees, and angle ABC measuring 60 degrees.
To construct triangle ABC, we can follow these steps:
1. Start by drawing a line segment AB of length 4.9 cm.
2. Place the compass at point A and draw an arc with any radius that intersects line AB.
3. Without changing the compass width, place the compass at point B and draw another arc crossing the first arc. Label the point of intersection as C.
4. Draw a line segment AC to complete the triangle.
5. Measure the angle BAC, which is 30 degrees. Use a protractor to draw a line from point A, forming a 30-degree angle with line AC.
6. Measure the angle ABC, which is 60 degrees. Use a protractor to draw a line from point B, forming a 60-degree angle with line AB.
7. Label the points A, B, and C.
Now, you have successfully constructed triangle ABC where line AB is 4.9 cm, angle BAC is 30 degrees, and angle ABC is 60 degrees.
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.