Mary plans to have a fence built around the triangular garden shown to the right. To the nearest foot, what length of fence will she need to buy?

Question

SAS 

Side c= 37ft

Angle A= 62(degrees)

Side b= 30ft

Answer 1

To find the length of fence you need to find length of 3rd side of triangle. And then find the perimeter of triangle.

 

As triangle is SAS, to find the length of 3rd side we have to use law of cosine

 

 

 

a² = c² + b² - 2cb cos A

 

      =(37)² + (30)^{2 -} 2(37)(30)cos 62

     

 

      = 1369+900-1042.23

 

      =1226.77

 

 

take square root of both sides

 

a= 35.025

 

a = 35 ft

 

Perimeter of triangle ABC=35 +30+37=102 ft

102 ft fence Mary need to buy

 

 

 

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