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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST?

 Jan 16, 2020
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The remaining side  =  50 - 22 - 13   =  15

 

The semi-perimeter, S, of this triangle  =   50 / 2   = 25

 

Using Heron's Formula, the area, A,  = 

 

√ [ S (S - 15) ( S - 22) (S - 13)  ] =

 

√ [ 25 * ( 25 - 15) * ( 25 - 22) * (25 - 13) ] =

 

√ [ 25 * 10 * 3 *12  ]  =

 

 5 * √[3 *10 * 12 ]  =

 

5 * √ [ 36 * 10 ]  =

 

5*6 * √10

 

30 √ 10  units^2

 

cool cool cool

 Jan 16, 2020

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