Find a point in the interior of
Draw perpendicular bisectors of sides DE,
EF and FD, which meets at O.
Hence, O is the required point.
Find a point in the interior of a triangle such that it is at equal distances from all the sides of the triangle.
People are concentrated at three points in a park namely A,B and C. (see Fig.).
A: is where swings and slides for children are present
B: is where a lake is present
C: is where there is a large parking lot and exit
Where do you think an ice – cream parlor should be set up such that the maximum number of people can access it? Draw bisectors
Solution: Join AB, BC and CA to get a triangle ABC. Draw the perpendicular bisector of AB and BC. Let them meet at O. Then O is equidistant from A, B and C. Hence, the parlor should be set up at O so that all the other points are equidistant from it.
Fill the star shaped and hexagonal rangolies [see fig.(i) and (ii)] by filling them with as many equilateral triangles as you can of side 1 cm. What is the number of triangles in both the cases? Which one has the most number of triangles?