#### Question

Use ruler and compasses only for the following questions. All constructions lines and arcs must be clearly shown

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

#### Solution

Steps for construction :

1) We known that the points at a distance of 3.5 cm from A will surely lie on the circle with centre A.

2) Also, the points on the angle bisector CH are the points equidistant from AC and BC.

3) Mark X and Y which are at the intersection of the circle and the angle bisector CH.

4) Measure XY. XY = 5 cm

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#### APPEARS IN

Solution Use Ruler and Compasses Only for the Following Questions. All Constructions Lines and Arcs Must Be Clearly Shown Mark 2 Points X and Y Which Are a Distance of 3.5 Cm from a and Also Equidistant from Ac and Bc. Measure Xy. Concept: Loci Examples.