Using a pair of compasses only construct a triangle 🔺️ abc such that angle Ab is 9cm,angle bac is 60 degrees and angle Ab is 45 degrees I.mesure length ab
To construct triangle ABC with the given conditions using only a pair of compasses, follow these steps:
1. Draw a line segment AB of length 9 cm.
2. Place the compasses on point A and draw an arc that intersects line AB at point P.
3. Without changing the compass width, place the compasses on point B and draw an arc that intersects line AB at point Q.
4. With the compasses still on point B, draw an arc with the same radius as before to intersect the previously drawn arc at point R.
5. Draw the line segment CR to complete triangle ABC.
6. To measure the length of AB, place one leg of the compasses on point A and open the other leg so that it touches point B. Then, transfer this distance to a ruler and measure it.
Note: It is not possible to construct a triangle with the given angle measures using only a pair of compasses. The given angles are not consistent with each other.