Using a pair of compass only construct triangle ABC such that AB is 8cm ABC is 60 and BAC is 75 locate point O inside triangle ABC equidistant from A B C
To construct triangle ABC using only a pair of compasses, follow these steps:
1. Draw a line segment AB, which is 8 cm long, using the ruler or straightedge.
2. Place the compass at point A and draw an arc with any radius that intersects the line segment AB.
3. Without changing the compass width, place the compass at point B and draw another arc that intersects the first arc. This will create point C on the line segment AB.
4. Using the compass, place the center at point A and draw an arc that intersects the line segment BC. Similarly, place the center at point B and draw an arc that intersects the line segment AC.
5. Let's call the intersection point of these two arcs as point O. Point O will be equidistant from points A, B, and C within triangle ABC.
Note: The construction method mentioned above is based on the assumption that you already have a line segment AB of length 8 cm. If you do not have a given line segment, you can construct it using the compass and a ruler or straightedge.