Question

Use ruler and compasses only for the following question. All construction lines and arcs must he clearly shown. 

(i) Construct a A ABC in which BC = 6.5 cm, ∠ABC = 60°, AB = 5 cm. 

(ii) Construct the locus of points at a distance of 3.5 cm from A. 

(iii) Construct the locus of points equidistant from AC and BC. 

(iv) Mark 2 points X and Y which are at a distance of 3.5 cm from A and also equidistant from AC and BC. Measure XY.

Answer 1

(i) Construct ∆ ABC with the given data. 

(ii) Taking A as centre and radius is 3-5, draw a circle. Which is required locus. 

(iii) Draw a angle bisector of C. Which is required locus. 

(iv) Angle bisector of C cut above circle at two points i.e., X & Y. 

These points are required points. 

Length of XY = 5 cm.