draw a perpendicular to a line segment of length 5 cm from a point on it at distance of 4 cm away from one end.
Answers
Step-by-step explanation:
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}Steps of
\huge \texttt {Construction:}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}Note : Don't change the radius which you once took. This can ruin the constructions and you will get wrong results.