(Q 1) ABC is a triangle. Locate a point in the interior of ∆ ABC which is equidistant from all the vertices of ∆ ABC
(Q 2) In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.
(Q 3) In a huge park, people are concentrated at three points (see Fig. 7.52): A : where there are different slides and swingsfor children, B : near which a man-made lake is situated, C : which is near to a large parking and exit. Where should an icecream parlour be set up so that maximum number of persons can approach it? (Hint : The parlour should be equidistant from A, B and C)
(Q 4) Complete the hexagonal and star shaped Rangolies [see Fig. 7.53 (i) and (ii)] by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?