# NCERT Class 7 Mathematics Chapter 7 A Tale of Three Intersecting Lines Solutions: In-Text and Exercise Questions Explained | SwaVid

The following questions are from Chapter 7, "A Tale of Three Intersecting Lines," of the NCERT Class 7 Mathematics textbook, "Ganita Prakash." This chap...

Canonical: https://swavid.com/maths/class/7/chapter/a-tale-of-three-intersecting-lines/ncert-solutions

Source: https://swavid.com/maths/class/7/chapter/a-tale-of-three-intersecting-lines/ncert-solutions

# A Tale of Three Intersecting Lines

## Find the gaps before this chapter finds them for you.

## Related chapters

Chapter 7 · Class 7 Mathematics

The following questions are from Chapter 7, "A Tale of Three Intersecting Lines," of the NCERT Class 7 Mathematics textbook, "Ganita Prakash." This chapter focuses on the properties and construction of triangles, including concepts like triangle inequality, angle sum property, and different construction criteria (SSS, SAS, ASA).

Your study route

In-text Questions (Figure it Out)

Answer: No, a triangle cannot be formed with sidelengths (3 cm, 4 cm, 8 cm) or (2 cm, 3 cm, 6 cm) because in both cases, the sum of two sides is not greater than the third side, violating the Triangle Inequality Theorem.

Question wording and page reference from NCERT document.

Exercise Questions

Before you push ahead

Most stuck chapters trace back to one earlier idea. Check the prerequisites first, or let SwaVid adapt this chapter to the way your child learns.

Keep exploring Class 7

Source

- The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
- For the set of sidelengths 3 cm, 4 cm, and 8 cm:
- Check 1: 3 + 4 > 8? 7 > 8 (False).
- Since the sum of two sides (3 cm and 4 cm) is not greater than the third side (8 cm), a triangle cannot be formed with these lengths.
- For the set of sidelengths 2 cm, 3 cm, and 6 cm:
- Check 1: 2 + 3 > 6? 5 > 6 (False).
- Since the sum of two sides (2 cm and 3 cm) is not greater than the third side (6 cm), a triangle cannot be formed with these lengths.
- Therefore, we can determine if a triangle can be formed without actual construction by applying the Triangle Inequality Theorem.
- NCERT Class 7 Mathematics textbook: Mathematics : Chapter 7: A Tale of Three Intersecting Lines

## Key Links

- [NCERT Mathematics](https://swavid.com/maths)
- [Class 7](https://swavid.com/maths/class/7)
- [Start with concepts](https://swavid.com/maths/class/7/chapter/a-tale-of-three-intersecting-lines)
- [Check a prerequisite](https://swavid.com/learning-debt-identifier)
- [Concepts](https://swavid.com/maths/class/7/chapter/a-tale-of-three-intersecting-lines)
- [Practice](https://swavid.com/maths/class/7/chapter/a-tale-of-three-intersecting-lines/practice-questions)
- [NCERT Solutions](https://swavid.com/maths/class/7/chapter/a-tale-of-three-intersecting-lines/ncert-solutions)
- [Find the gaps before this chapter](https://swavid.com/learning-debt-identifier)
- [Learn this chapter adapted to you](https://swavid.com/learning-style-test)
- [Previous chapter 6 . Number Play](https://swavid.com/maths/class/7/chapter/number-play)
- [Next chapter 8 . Working with Fractions](https://swavid.com/maths/class/7/chapter/working-with-fractions)
- [All Class 7 chapters](https://swavid.com/maths/class/7)
- [6 Number Play Numbers in General Form · Games with Reversing Digits (Two-Digit Numbers) Open chapter](https://swavid.com/maths/class/7/chapter/number-play)
- [8 Working with Fractions Multiplying a Fraction by a Whole Number · Multiplying a Fraction by Another Fraction Open chapter](https://swavid.com/maths/class/7/chapter/working-with-fractions)
- [5 Parallel and Intersecting Lines Intersecting Lines and Angles Formed · Transversal and its Angles Open chapter](https://swavid.com/maths/class/7/chapter/parallel-and-intersecting-lines)
- [NCERT Class 7 Mathematics textbook: Mathematics](https://ncert.nic.in/textbook.php)