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| 1. |
Divide a line segment of length 8cm internally in the ratio 3:4 |
| Answer» Steps of construction STEP I Draw the line segment AB of length 8 cm.STEP II Draw any ray AX making an acute angle {tex}\\angle{/tex}BAX with AB.STEP III Draw a ray BY parallel to AX by making\xa0{tex}\\angle A B Y{/tex}\xa0equal to {tex}\\angle B A X.{/tex}STEP IV Mark the three point A1, A2, A3 on AX and 4 points B1, B2, B3, B4 on BY such thatAA1 = A1A2 = A2A3 = BB1 = B1B2 = B2B3 = B3B4.STEP V Join A3 B4. Suppose it intersects AB at a point P.Then, P is the point dividing AB internally in the ratio 3:4. | |