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Encyclopedia of Mathematics
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Chapter 2. Computing the area of a triangle

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Table of Contents

 

Formula for the area of a triangle using the base and the height

How to find the area of a triangle using its sides. Heron’s formula

The area of a triangle from two sides and the included angle

How to find the area of a triangle from 3 angles and a side or from 2 angles and a side

The area of a triangle using two sides and the sine of the exterior angle

Formula of the area of a triangle using three heights

Formula of the area of a triangle from three medians

How to find the area of a triangle in terms of the inscribed circle’s radius

How to find the area of a triangle in terms of the circumscribed circle’s radius

Theorems on similarity of the areas of the triangles

Triangles which have equal areas

How to find the area of a drawn triangle. Pick’s theorem

Formulas for the area of a triangle

Topics in Geometry
  • Basic concepts and figures of Plane Geometry
  • Triangles
    • Chapter 1. Triangles. Basic facts
    • Chapter 2. Computing the area of a triangle
    • Chapter 3. Congruent triangles
    • Chapter 4. Similar triangles
    • Chapter 5. Right triangle
    • Chapter 6. The isosceles triangle
    • Chapter 7. The equilateral triangle
    • Chapter 8. The angle bisector of a triangle
    • Chapter 9. The height of a triangle
    • Chapter 10. The median of a triangle
    • Chapter 11. The perpendicular bisector of a triangle
    • Chapter 12. The midline of a triangle
    • Chapter 13. The inscribed circle of a triangle
    • Chapter 14. A circle circumscribed around a triangle
  • Properties of Circle
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