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GEO007 · Geometry basics · Classes 3–12

Triangle

A triangle has three sides and three angles. The angles always add up to 180°, and any two sides together are longer than the third.

📐 Formula

Perimeter = a + b + c; Heron: s = (a + b + c)/2, Area = √[s(s − a)(s − b)(s − c)]

✏️ Worked example

Sides 5, 6, 7: s = 9, Area = √(9 × 4 × 3 × 2) = √216 ≈ 14.70.

🌍 Where it is used

Roof trusses, bridges and bicycle frames use triangles because they are rigid.

❓ Quick check

Two angles of a triangle are 50° and 60°. The third angle is…