Question

Draw a circle of radius 5 cm. From a point A on it construct a tangent to the circle

Answer 1

Answer:

Draw ⨀(A,5 cm) and take point B in its exterior such that AB=8 cm.

To construct:  

Through B, tangents are to be drawn to ⨀(A,5 cm).

Steps of construction:

1) Draw ⨀(A,5 cm) and take point B in its exterior such that AB=8cm.

2) Draw  

AB

.

3) Obtain the midpoint M of  

AB

 by constructing its perpendicular bisector.

4) Draw ⨀(M,MA) intersecting ⨀(A,5 cm) at X and Y.

5) Draw  

BX

 and  

BY

.

Hence,  

BX

 and  

BY

 are the required tangents.

The length of tangents  

BX

 and  

BY

 is 6.2 (approx)

i.e., BX=BY=6.2 cm (approx.)

Step-by-step explanation: