Tuesday 26 September 2017

`a = 8, b = 12, c = 17` Use Heron's Area Formula to find the area of the triangle.

Given: `a=8, b=12, c=17`


Heron's Area Formula `A=sqrt[s(s-a)(s-b)(s-c)]`


where `s=[a+b+c]/2`


`s=[8+12+17]/2=37/2=18.5`


`A=sqrt[18.5(18.5-8)(18.5-12)(18.5-17)]`


`A=sqrt[18.5(10.5)(6.5)(1.5)]`


`A=sqrt(1893.94)=43.52`


The area is 43.52 square units.



Given: `a=8, b=12, c=17`


Heron's Area Formula `A=sqrt[s(s-a)(s-b)(s-c)]`


where `s=[a+b+c]/2`


`s=[8+12+17]/2=37/2=18.5`


`A=sqrt[18.5(18.5-8)(18.5-12)(18.5-17)]`


`A=sqrt[18.5(10.5)(6.5)(1.5)]`


`A=sqrt(1893.94)=43.52`


The area is 43.52 square units.



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