How to construct triangle ABC where AB=6cm AC=5cm and <BAC=105°
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construct the angle by attaching a 60° to a 45° angle
Those are easy to construct.
To construct triangle ABC with the given side lengths and angle, follow these steps:
1. Draw a line segment AB of length 6cm.
2. Mark point A at one end of AB.
3. Use a compass to draw an arc with center A and radius 5cm, intersecting AB at point C.
4. Draw a line segment AC connecting points A and C.
5. Use a protractor to measure an angle of 105 degrees at point A on line segment AC. Mark this angle as angle BAC.
6. Draw a ray BA starting at point B and passing through point A.
7. The point where this ray intersects line segment AC will be the point B.
8. Finally, connect points B and C with a line segment BC.
You have now constructed triangle ABC, where AB = 6cm, AC = 5cm, and ∠BAC = 105°.