. Using ruler and compasses only,
a) construct triangle ABC in which AB=5cm,BC=6cm and angle ABC=120º
Draw AB of length 5
construct angle ABC (two 60º angles)
Mark C on that angle, aty distance 6
Draw AC
If you don't know how to construct a 60º angle, see google
I don't know how to construct a 60⁰ angle
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To construct a triangle ABC with AB = 5 cm, BC = 6 cm, and angle ABC = 120º using only a ruler and compass, follow the steps below:
1. Draw a straight line segment XY using a ruler. This will serve as the base of the triangle.
2. Place the compass at point X and draw an arc with a radius of 5 cm.
3. Without changing the compass width, place the compass at point Y and draw an intersecting arc intersecting the one from step 2.
4. Label the point of intersection between the two arcs as A.
5. With A as the center, draw an arc with a radius of 6 cm to intersect the line segment XY. Label this point of intersection as B.
6. With B as the center, draw an arc with a radius greater than half the distance between A and B.
7. With A as the center, draw an arc with the same radius as step 6 to intersect the arc drawn in step 6. Label this point of intersection as C.
8. Connect points A, B, and C to complete triangle ABC.
Now, triangle ABC should have AB = 5 cm, BC = 6 cm, and angle ABC = 120º.