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A decorative platter is an equilateral triangle with side lengths of 14 inches. What is the height of the platter? Round to the nearest inch.

 Jan 20, 2016

Best Answer 

 #1
avatar+130466 
+10

The height  is given by

 

sqrt( side^2  - (1/2)side^2)   =

 

sqrt ( 14^2  - 7^2)  =

 

sqrt (196 - 49)  =

 

sqrt( 147)  =  about 12.124  in

 

We could also use this  .....h =  sqrt(3) * (1/2)side   =  [sqrt(3)*7] in

 

The nearest inch = 12

 

 

cool cool cool

 Jan 20, 2016
edited by CPhill  Jan 20, 2016
 #1
avatar+130466 
+10
Best Answer

The height  is given by

 

sqrt( side^2  - (1/2)side^2)   =

 

sqrt ( 14^2  - 7^2)  =

 

sqrt (196 - 49)  =

 

sqrt( 147)  =  about 12.124  in

 

We could also use this  .....h =  sqrt(3) * (1/2)side   =  [sqrt(3)*7] in

 

The nearest inch = 12

 

 

cool cool cool

CPhill Jan 20, 2016
edited by CPhill  Jan 20, 2016

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