{"id":19748,"date":"2022-12-01T10:00:53","date_gmt":"2022-12-01T04:30:53","guid":{"rendered":"https:\/\/www.aplustopper.com\/?p=19748"},"modified":"2022-12-02T09:21:51","modified_gmt":"2022-12-02T03:51:51","slug":"math-labs-activity-find-circumcentre-given-triangle","status":"publish","type":"post","link":"https:\/\/www.aplustopper.com\/math-labs-activity-find-circumcentre-given-triangle\/","title":{"rendered":"Math Labs with Activity – Find the Circumcentre of a Given Triangle"},"content":{"rendered":"
OBJECTIVE<\/strong><\/span><\/p>\n To find the circumcentre of a given triangle by the method of paper folding.<\/p>\n Materials Required<\/strong><\/span><\/p>\n Theory<\/strong> <\/span> Procedure<\/strong> <\/span> Observations<\/strong><\/span><\/p>\n Result<\/strong><\/span> Remarks:<\/strong> The teacher must explain it to the students that since the perpendicular bisectors of all the three sides of a triangle meet at a single point, it is sufficient to find the point of intersection of the perpendicular bisectors of only two sides to obtain the circumcentre of the triangle.<\/p>\n Math Labs with Activity<\/a>Math Labs<\/a>Math Lab Manual<\/a>Science Labs<\/a>Science Practical Skills<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" Math Labs with Activity – Find the Circumcentre of a Given Triangle OBJECTIVE To find the circumcentre of a given triangle by the method of paper folding. Materials Required Three sheets of white paper A geometry box Theory The point of intersection of the perpendicular bisectors of the sides of a triangle is called its […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[6805],"tags":[],"yoast_head":"\n\n
\nThe point of intersection of the perpendicular bisectors of the sides of a triangle is called its circumcentre.<\/p>\n
\nStep 1:<\/strong> We shall first find the circumcentre of an acute- angled triangle. Draw an acute-angled triangle ABC on a sheet of white paper.
\nStep 2:<\/strong> Fold the paper along the line that cuts the side BC such that the point B falls on the point C. Make a crease and unfold the paper. Draw a line X1<\/sub>Y1<\/sub> along the crease. Then, X1<\/sub>Y1<\/sub> is the perpendicular bisector of the side BC (see Figure 19.1).
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\nStep 3:<\/strong> Fold the paper along the line that cuts the side AC such that the point A falls on the point C. Make a crease and unfold the paper. Draw a line X2<\/sub>Y2<\/sub>\u00a0along the crease. Then X2<\/sub>Y2<\/sub> is the perpendicular bisector of the side AC (see Figure 19.1). Mark the point O where the lines X1<\/sub>Y1<\/sub> and X2<\/sub>Y2<\/sub> intersect. Then, the point O is the circumcentre of \u0394ABC. What do you observe?
\nStep 4:<\/strong> We shall now find the circumcentre of a right-angled triangle. Draw a right-angled triangle ABC (right angled at C) on another sheet of white paper.
\nStep 5:<\/strong> Fold the paper along the line that cuts the side BC such that the point B falls on the point C. Make a crease and unfold the paper. Draw a line X1<\/sub>Y1<\/sub> along the crease. Then, X1<\/sub>Y1<\/sub> is the perpendicular bisector of the side BC (see Figure 19.2).
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\nStep 6:<\/strong> Fold the paper along a line that cuts the side AC such that the point A falls on the point C. Make a crease and unfold the paper. Draw a line X2<\/sub>Y2<\/sub> along the crease. Then, X2<\/sub>Y2<\/sub> is the perpendicular bisector of the side AC (see Figure 19.2). Mark the point O where the lines X1<\/sub>Y1<\/sub> and X2<\/sub>Y2<\/sub> intersect. Then, O is the circumcentre of \u0394ABC. What do you observe?
\nStep 7:<\/strong> We shall now find the circumcentre of an obtuse\u00acangled triangle. Draw an obtuse-angled triangle ABC (in which \u2220B is obtuse) on the third sheet of white paper.
\nStep 8:<\/strong> Fold the paper along the line that cuts the side BC such that the point B falls on the point C. Make a crease and unfold the paper. Draw a line X1<\/sub>Y1<\/sub> along the crease. Then, X1<\/sub>Y1<\/sub> is the perpendicular bisector of the side BC (see Figure 19.3).
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\nStep 9:<\/strong> Fold the paper along the line that cuts the side AC such that the point A falls on the point C. Make a crease and unfold the paper. Draw a line X2<\/sub>Y2<\/sub> along the crease. Then, X2<\/sub>Y2<\/sub> is the perpendicular bisector of the side AC (see Figure 19.3). Mark the point O where the lines X1<\/sub>Y1<\/sub> and X2<\/sub>Y2<\/sub> intersect. Then, O is the circumcentre of \u0394ABC. What do you observe?<\/p>\n\n
\nThe point O is the circumcentre of the triangle (in each case).<\/p>\n