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Find the area of the triangle with side lengths 4, 5, and 8.

 
 May 9, 2025
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Find the area of the triangle with side lengths 4, 5, and 8.    

 

I've always been sort of partial to Heron's formula.    

 

Area = sqrt[(s)(s–a)(s–b)(s–c)]    where s = (1/2)(a+b+c)    

 

s = (1/2)(17) = 8.5     therefore A = sqrt(8.5 x 4.5 x 3.5 x 0.5)    

 

                                                 A = sqrt(66.9375)    

 

                                                 A = 8.1815    

.    

 May 9, 2025

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