Question

construct the perpendicular of a given line segment of 10 cm ( write steps of construction)​

Answer 1

Answer:

I did not understand if you wanted the answer for drawing a perpendicular that has a length of 10 cm or a perpendicular on a line of 10cm.

Step-by-step explanation:

• STEPS OF CONSTRUCTION 1:

1) Draw a line AB of 10cm.

2) Taking the center as A and radius more than 5 cm, make an arc above and below the line AB.

3) Now, take the center as B and repeat step 2. The arcs should intersect the arcs previously made.

4) Join the intersecting arcs.

Here, you have perpendicularly bisected a line of length 10cm.

• STEPS OF CONSTRUCTION 2:

1) Draw a line AB.

2) Make a semicircle with any radius on the line AB and center C.

3) Now, with the same radius, take the center as one side of the semicircle intersecting line AB. Make an arc taking the same radius on the semicircle.

4) Now, take the center as the arc intersecting the semicircle and the same radius as before, make another arc on the semicircle and one above the semicircle.

5) Take the center as the second arc on the semicircle and the same radius and make an arc intersecting the previous one above the semicircle at P.

6) Make a line from C through P. Extend it as much as possible.

7) Take the center as C and radius 10cm and make an arc on line CP at J.

Here, you have made a perpendicular(CJ) of 10cm.