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Class 7

Chapter 7: A Tale of Three Intersecting Lines

The three angles of any triangle add up to 180°. Triangles can be classified by sides (scalene, isosceles, equilateral) or by angles (acute, right, obtuse).

Learning outcomes

  • Classify triangles by sides and angles
  • Apply the angle-sum property of triangles

Activities

  • Cut-and-paste angle-sum proof

Worked examples

Read through these first, then try the practice below.

  1. Example 1 — Find the missing angle

    A triangle has angles 50° and 70°. What is the third angle?

    Solution: 180 − (50 + 70) = 60°.

  2. Example 2 — Classify by sides

    A triangle has sides 5, 5 and 7 cm. By sides, what is it called?

    Solution: Two sides equal — isosceles.

Self-do practice

Question 1 of 3 · Score 0/0

Two angles of a triangle are 40° and 60°. What is the third?

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