11.8 Hero’s and Brahmagupta’s Formulas. T111:A ∆ = a b c Where a, b, c are length’s of the sides and s = semi-perimeter S = a + b + c 2 Area of a triangle:

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Presentation transcript:

11.8 Hero’s and Brahmagupta’s Formulas

T111:A ∆ = a b c Where a, b, c are length’s of the sides and s = semi-perimeter S = a + b + c 2 Area of a triangle: Hero of Alexandria

Find the area of a triangle with sides 3, 6, and 7.

A= ( )÷2 = 8

In 628 AD a Hindu named Brahmagupta discovered a formula for the area of an inscribed quadrilateral. T112: A cyclic quad = Where a, b, c, d are sides of the quadrilateral, and s = the semiperimeter. These are known as cyclic quadrilaterals.

Brahmagupta’s Formula Find the area of the inscribed quadrilateral. Show all steps

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