Question

Draw a line segment AB=5.5 cm. Mark a point P, such that PA=6 cm and PB=4.8 cm. From the point P draw perpendicular to AB.

Answer 1

Step of Construction:

1. Construct a line segment AB=5.5 cm
2. Taking A as centre and radius =6 cm construct an arc.
3. Taking B as centre and radius =4.8 cm construct another arc.
4. Let these arcs meet each other at the point P. PA=6 cm, PB=4.8
5. Take P as centre and some suitable radius construct an arc meeting AB at the points C and D.
6. Take C as centre and radius more than half of CD construct an arc.
7. Take D as center and same radius as in step 6, construct an arc.
8. Let these arcs meet each other at the point Q.
9. Now join PQ.
10. The PQ meet AB at point O. Then PO⊥AB i.e; ∠AOP=90° =∠POB