Constructions

Vijay’s class teacher told him to mark two points A and B on a line segment PQ of length 10 cm such thatand . He does not know how to construct it. Can we help him?

Let us go through the video to first try and mark a point A such that.

Now let us try to mark a point B in the same way.

It is given that.

Let us take PB = *x* and BQ = 2*x*. It is also given that PQ = 10 cm.

But, PQ = PB + BQ

10 cm = *x* + 2*x*

3*x* = 10 cm

*x* = cm

Now, it is difficult to mark a point B on the line segment PQ, since the value of *x* is in decimal form and even non-terminating.

We can observe that the ma...

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