Draw a line segment xy of length 12.8cm.find a point z on xy,which divides it in the ratio 4:5.write the steps of construction
you want to divide the length into 9 equal parts.
Place z 4/9 of the way from x to y.
To construct the line segment XY of length 12.8 cm and find a point Z that divides it in the ratio of 4:5, follow these steps:
Step 1: Draw a line segment XY of any convenient length. Vary the length based on your available space.
Step 2: Choose any point on XY and label it as A. This point will be used as a reference for constructing the segment in the desired ratio.
Step 3: With point A as the center, draw an arc that intersects XY at two points, B and C.
Step 4: Using a compass, measure the length of AB and multiply it by 4/9. Place the compass at point A, adjust the compass width to AB multiplied by 4/9, and draw an arc that intersects line XY. Label this point of intersection as Z.
Step 5: Lastly, connect point Z with the end point Y, creating the line segment ZY. Point Z is the desired point that divides the segment XY in a ratio of 4:5.
Now you have successfully constructed the line segment XY of length 12.8 cm and found the point Z that divides it in a ratio of 4:5.