Question

draw a perpendicular on line segment 9cm from a point 5cm away from one end using compass and ruler .please show it through construction

Answer 1

Answer:

Step-by-step explanation:

1.Place your compass point on P and swing an arc of any size below the line that crosses the line twice. You will be drawing at least a semicircle. (Note: While you can draw this arc above or below the line, below the arc keeps the construction lines from bumping into one another.)

2. Stretch the compass LARGER!

3. Place the compass point where the arc crossed the line on one side and make a small arc above the line (the arc could be below the line if you prefer).

4. Without changing the span on the compass, place the compass point where the first arc crossed the line on the OTHER side and make another arc. Your two small arcs should be intersecting.

5. Using a straightedge, connect the intersection of the two small arcs to point P.

The diagram is given as an attachment for more help

Hope this will help u

Thanking you

Yours faithfully

Dia095

Answer 2

$\huge \texttt {Question:}$

Draw a perpendicular on a line segment of length 9 cm from a point 5 cm away from one end using a compass and a ruler (constructions).

$\huge \texttt {Steps of}$
$\huge \texttt {Construction:}$

The construction is attached alongwith this answer. The steps of the provided construction are as follows.

⏩ Take a line segment AB with length 9 cm.

⏩ At 5 cms from point A, mark a point C.

⏩ Now, we will need to draw a perpendicular from this point but without using any protractor.

⏩ For doing this, cut an arc of any certain radius 'r' from point C such that the arc touches the line segment on both the sides. Mark these two meeting points D and E.

⏩ Now, with radius r, cut an arc from the point E on the first arc. Mark the meeting point G.

⏩ Follow the same procedure with point D. Mark the meeting point F.

⏩ Now, with radius r, cut arcs from F and G and mark the point of intersection of the two arcs as H.

⏩ With joining H and C, extend a line. This line is the required perpendicular line from C.

$\textbf {Note}$: Don't change the radius which you once took. This can ruin the constructions and you will get wrong results.