Draw a line segment AB of length 7 cm. Using ruler and compasses, find a point P on AB such that

Question

Philoid · Accepted Answer

We have

So,

Steps of Construction:

1. Draw a line segment AB = 7 cm.

2. Draw a ray AX and mark (3 + 2) = 5 points equally spaced using a compass: A₁, A₂, A₃, A₄ and A₅.

3. Join A₅ to B.

4. From A₃, draw A₃P parallel to A₅B meeting AB at P.

5. Then the point P is the required point.

Therefore,