Points A, B, and C represent the position of three towers such that AB = 60 m, BC = 73 m and CA = 52 m. Taking a scale of 10 m to 1 cm, make an accurate drawing of ∆ABC. Find by drawing, the location of a point which is equidistant from A, B, and C, and its actual distance from any of the towers.
Solution:
Draw two intersecting lines to include an angle of 30°. Use ruler and compasses to locate points which are equidistant from these lines and also 2 cm away from their point of intersection. How many such points exist? (1990)
Solution:
More Solutions:
- Draw a circle of radius 4 cm and mark two chords AB and AC.
- Draw the locus of all points which are equidistant from A and B.
- Construct the locus of a point P such that area of triangle PAB is 14 cm².
- AB and CD are two intersecting lines.
- Construct a rhombus PQRS whose diagonals PR, QS are 8 cm and 6 cm.
- By using ruler and compass only, construct a quadrilateral ABCD.