Page 262 - Start Up Mathematics_6
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4.  Holding the set square firmly in this
               position, draw the perpendicular PQ                             Do you know?
               as shown.                                                        Construction has a wide range
                                                                                of application in Mathematics,
                                                                                Science, Architecture, Engineering
                                                                                and Designing.


                                                                                            Q
                                             P         l


                                                                                                    l
                                                                                           P


                In the above construction we can use another set square instead of a ruler.

             Using a ruler and compass



             1.  With P as the centre and some convenient
                 radius, draw a major arc intersecting line l
                 at two points A and B.
                                                                                  A         P        B      l

                                                                                           Q


             2.  With A and B as centres and radius greater
                than AP draw two arcs cutting each other
                at Q.

                                                                                                            l
                                                                                  A        P         B

                                                                                             Q


              3. Join P and Q to obtain the required perpendicular
                at P.
                                                                                                            l
                                                                                            P

            Construction of a Perpendicular to a Given Line Through a Point Not on It

            Let’s learn how to construct a line perpendicular
            to a given line l from a point P not lying on it
            in two different ways.                                                     P

            Using a ruler and set square


                                                                                               l
            1.  Place the ruler along line l.






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