Given some line segment AB, whose length you do not know, construct PQ such that the length of PQ is twice that of AB

Solution:

With the help of a ruler and a compass, we can draw a line segment by following steps:

We are given line segment AB

We need to draw, PQ twice as that of AB.

⇒ PQ = 2 × AB

Now, follow these steps

Step 1: Draw a line l and make a point P on it.

Step 2: Measure AB using a compass

Step 3: Now keeping the compass opened the same length.

We keep the pointed end at point P and draw an arc on line l.

So, PX = AB

Step 4: Now keeping the compass opened the same length.

We keep the pointed end at point X and draw an arc on line l.

So, XQ = AB and PQ = 2 × AB

Thus, PQ is twice that of AB

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.3 Question 2

Given some line segment AB, whose length you do not know, construct PQ such that the length of PQ is twice that of AB.

Summary:

A line segment PQ has been constructed such that the length of PQ is twice that of the given line segment AB.

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