Q. 24.3( 248 Votes )

Construct a tange

Answer :

Steps of construction:

i. Draw two concentric circles with radii 4 cm and 6 cm respectively.

ii. Now, draw the radius OP of the larger circle.

iii. Construct a perpendicular bisector of OP intersecting OP at point O’.

iv. Considering O’P as radius, draw another circle.

v. From point P, draw tangents PQ and PR(can see in the figure)

Justification:  By applying Pythagoras theorem, we have;

PQ2 = OP2 – OQ2

= 62 – 42

= 36 – 16 = 20

Or, PQ = 2√5 cm

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