NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 2: Geometry - Problems and Solutions
Question 52

Question. 52

Will the lengths of line segment AB and line segment BC make the length of line segment AC in Fig. 2.33?

Answer:

Yes, since B lies between A and C, so \(AB+BC=AC\).

Detailed Answer with Explanation:

Step 1: Look at the figure. Points A, B, C are on one straight line. B is between A and C.

Step 2: A straight line can be split into smaller parts. The full length equals the sum of those parts. (Segment addition idea.)

Step 3: Here, the parts are AB and BC. The full length is AC.

Step 4: Write it as small maths steps:

First part: \(AB\)

Second part: \(BC\)

Whole line from A to C: \(AC\)

So,

\[ AB + BC = AC \]

Step 5: Therefore, the lengths AB and BC together make AC. Answer is Yes.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 2: Geometry – Problems and Solutions | Detailed Answers