Question

Draw a circle of radius 3.4 cm. Draw a chord MN 5.7 cm long in a circle. Draw a tangent to the circle from point M and point N.

Answer 1

Analysis:

`{:("seg ON"  ⊥  "line"  l),("seg OM"  ⊥  "line m"):}}`   ...[Tangent theorem]

The perpendicular to seg ON and seg OM at points N and M respectively will give the required tangents at N and M.

Steps of construction:

1. With center O, draw a circle of radius 3.4 cm.
2. Draw chord MN of length 5.7 cm in the circle.
3. Draw rays OM and ON.
4. Draw line `l` ⊥ ray ON at point N.
5. Draw line m ⊥ ray OM at point M.
   Lines `l` and m are the required tangents at points M and N to the circle.