Class 7 Maths · Ganita Prakash Part 1 · Chapter 7

A Tale of Three Intersecting Lines

Triangles from scratch — the angle sum, the triangle inequality, and what it takes for three lines to make a triangle.

What your child learns

  • See why the three angles of every triangle add to 180° — not just memorise it
  • Use the angle-sum and exterior-angle relationships to find unknown angles
  • Apply the triangle inequality: which side lengths can actually form a triangle
  • Classify triangles by sides and angles, and spot special cases
  • Solve mixed problems combining triangle rules with the previous chapter’s angle rules

Parent pointer

Ask your child the chapter’s central question at dinner: “Can sticks of 2 cm, 3 cm and 7 cm make a triangle?” If they say no and can say why (2 + 3 < 7), the chapter has done its job. If they start drawing to check — even better, that's real maths.

Stuck on this chapter? Message us — tell us the exercise number and we’ll point you to the right video.

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Practise it — the Azone loop

1

Watch the class

Full chapter above, free. Pause and solve along — that’s the rule.

2

Do a worksheet

Download the free Class 7 worksheet pack and practise this topic on paper.

3

Test yourself

Try the free 12-minute mock test, then the full test series when ready.

Quick questions parents ask

Is this the old “Triangle and its Properties” chapter?

It covers that territory — angle sum, exterior angle, triangle inequality — but builds it as a story about when three lines can close into a triangle. Same exam-relevant results, better motivation.

How much of this appears in Class 10 boards?

Triangles are the single most-tested geometry topic through Class 10. The angle rules learned here get used every single year from now on — this is a chapter to master, not just pass.

Want this chapter to actually stick?

Join the small live online batch (max 20 students) — weekly tests, doubt solving and a parent report card. Or start with a free demo class.