Heron's Formula for Triangle Area

Heron's Formula for Triangle Area

Discover how the area of a triangle can be found from its three side lengths alone.

GeoGebra Content Team

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Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Нээлттэй асуулт 1

What is the area of a triangle with sides of 10, 12 and 14 inches?

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Нээлттэй асуулт 2

The base of an isosceles triangle measures 11 cm, and one of the sides is 20 cm long. Calculate the area of the triangle.

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Нээлттэй асуулт 3

The base of an equilateral triangle measures 2 meters. Calculate its area using Heron’s formula. Do you know any other way to calculate this area?

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Нээлттэй асуулт 4

Edwin Abbott Abbott wrote in his book Flatland: “Our Soldiers and Lowest Classes of Workmen are Triangles with two equal sides, each about eleven inches long, and a base or third side so short (often not exceeding half an inch) that they form at their vertices a very sharp and formidable angle.” What is the maximum area of the body of a Soldier or low class Workman in Flatland?

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