SlideShare a Scribd company logo
1 of 6
Hero’s and Brahmagupta’sFormulas February 16, 2010
How do you find the area of a triangle?  h What about this triangle?  b 8 5 11
Hero’s Formula a, b, and c are the lengths of the sides of the triangles s = semiperimeter =  Hero of Alexandria Picture from http://en.wikipedia.org/wiki/Hero_of_Alexandria
Brahmagupta’s Formula a, b, c, and d are the lengths of the sides of the quadrilateral s = semiperimeter=
homework Page 552 #8-10, 12
Exit Slip Use Hero’s formula to find the area of with sides 3, 7, and 8.  Use Brahmagupta’s formula to find the areas of inscribed quadrilaterals with sides 2, 4, 5, and 9.

More Related Content

More from joannahstevens

Translating words into symbols
Translating words into symbolsTranslating words into symbols
Translating words into symbolsjoannahstevens
 
Solving equations with variables on both sides & translating words into symbols
Solving equations with variables on both sides & translating words into symbolsSolving equations with variables on both sides & translating words into symbols
Solving equations with variables on both sides & translating words into symbolsjoannahstevens
 
Transforming equations
Transforming equationsTransforming equations
Transforming equationsjoannahstevens
 
Solving percent equations
Solving percent equationsSolving percent equations
Solving percent equationsjoannahstevens
 
Decimals, fractions, and percents
Decimals, fractions, and percentsDecimals, fractions, and percents
Decimals, fractions, and percentsjoannahstevens
 
Notes on 3.2 properties of linear frunction graphs
Notes on 3.2   properties of linear frunction graphsNotes on 3.2   properties of linear frunction graphs
Notes on 3.2 properties of linear frunction graphsjoannahstevens
 
Proportions & school pictures
Proportions & school picturesProportions & school pictures
Proportions & school picturesjoannahstevens
 
Simplifying expressions, solving, domain and range
Simplifying expressions, solving, domain and rangeSimplifying expressions, solving, domain and range
Simplifying expressions, solving, domain and rangejoannahstevens
 
04.07.10 more volume exercises
04.07.10 more volume exercises04.07.10 more volume exercises
04.07.10 more volume exercisesjoannahstevens
 
04.08.10 applications of volume and surface area
04.08.10 applications of volume and surface area04.08.10 applications of volume and surface area
04.08.10 applications of volume and surface areajoannahstevens
 
Surface area of solids Review
Surface area of solids ReviewSurface area of solids Review
Surface area of solids Reviewjoannahstevens
 
Surface area of circular solids
Surface area of circular solidsSurface area of circular solids
Surface area of circular solidsjoannahstevens
 

More from joannahstevens (20)

Translating words into symbols
Translating words into symbolsTranslating words into symbols
Translating words into symbols
 
Inequalities
InequalitiesInequalities
Inequalities
 
Solving equations with variables on both sides & translating words into symbols
Solving equations with variables on both sides & translating words into symbolsSolving equations with variables on both sides & translating words into symbols
Solving equations with variables on both sides & translating words into symbols
 
4.3 cramer’s rule
4.3 cramer’s rule4.3 cramer’s rule
4.3 cramer’s rule
 
Solving equations
Solving equationsSolving equations
Solving equations
 
Transforming equations
Transforming equationsTransforming equations
Transforming equations
 
Solving percent equations
Solving percent equationsSolving percent equations
Solving percent equations
 
Decimals, fractions, and percents
Decimals, fractions, and percentsDecimals, fractions, and percents
Decimals, fractions, and percents
 
Notes on 3.2 properties of linear frunction graphs
Notes on 3.2   properties of linear frunction graphsNotes on 3.2   properties of linear frunction graphs
Notes on 3.2 properties of linear frunction graphs
 
Proportions & school pictures
Proportions & school picturesProportions & school pictures
Proportions & school pictures
 
Inequalities
InequalitiesInequalities
Inequalities
 
The matrix
The matrixThe matrix
The matrix
 
Simplifying expressions, solving, domain and range
Simplifying expressions, solving, domain and rangeSimplifying expressions, solving, domain and range
Simplifying expressions, solving, domain and range
 
04.07.10 more volume exercises
04.07.10 more volume exercises04.07.10 more volume exercises
04.07.10 more volume exercises
 
04.08.10 applications of volume and surface area
04.08.10 applications of volume and surface area04.08.10 applications of volume and surface area
04.08.10 applications of volume and surface area
 
04.07.10 more volume
04.07.10 more volume04.07.10 more volume
04.07.10 more volume
 
Surface area of solids Review
Surface area of solids ReviewSurface area of solids Review
Surface area of solids Review
 
Volume of spheres
Volume of spheresVolume of spheres
Volume of spheres
 
Surface area of circular solids
Surface area of circular solidsSurface area of circular solids
Surface area of circular solids
 
m&m Statistics
m&m Statisticsm&m Statistics
m&m Statistics
 

2 16 10 Heros And Brahmaguptas Formulas

  • 2. How do you find the area of a triangle? h What about this triangle? b 8 5 11
  • 3. Hero’s Formula a, b, and c are the lengths of the sides of the triangles s = semiperimeter = Hero of Alexandria Picture from http://en.wikipedia.org/wiki/Hero_of_Alexandria
  • 4. Brahmagupta’s Formula a, b, c, and d are the lengths of the sides of the quadrilateral s = semiperimeter=
  • 5. homework Page 552 #8-10, 12
  • 6. Exit Slip Use Hero’s formula to find the area of with sides 3, 7, and 8. Use Brahmagupta’s formula to find the areas of inscribed quadrilaterals with sides 2, 4, 5, and 9.