+0  
 
+1
59
11
avatar+241 

Please help

 

 Mar 30, 2020
 #1
avatar+632 
0

Hint

It says regular polygon.

Do you know what shape that is?

 Mar 30, 2020
 #2
avatar+241 
+2

Is it a 90 60 30 degree triangle?

Mathisgood  Mar 30, 2020
 #3
avatar+632 
+1

regular polygon means all of its sides are equal.

 

What shape do you think of when a triangle has all of its sides equal?

AnExtremelyLongName  Mar 30, 2020
 #4
avatar+241 
+2

An equalteral triangle.  

Mathisgood  Mar 30, 2020
 #5
avatar
+1

regular polygon means all sides are equal AND all angles are equal

Guest Mar 30, 2020
 #7
avatar+632 
+2

Thank you for correcting me guest!

Anyways, can you now divide the equilateral triangle into halves with each half as a 30-60-90 triangle? I recommend you draw it out!

AnExtremelyLongName  Mar 30, 2020
 #8
avatar+632 
+2

Welp never mind CPhill did the problem

AnExtremelyLongName  Mar 30, 2020
 #6
avatar+111321 
+2

A regular polygon has all sides  the same......so.....this is an equilateral triangle

 

The  area  =

 

(1/2) (16) (16)√3 /2 

 

(√3/4) * 16^2  =

 

(√3) ( 64)  ≈

 

110.9 ft^2

 

 

cool cool cool

 Mar 30, 2020
 #9
avatar+111321 
+1

AELN  suggests  a good  method

 

If  you  draw it out......we will  have a side  =   8 opposite the 30°  angle

 

The altitude will  be  opposite  the 60°  angle  = 8√3

 

So......the  area = 

 

(1/2) base (height)  =

 

(1/2) (16) ( 8√3) =

 

64√3

 

 

cool cool cool

 Mar 30, 2020
 #10
avatar+632 
+1

Thank you! CPhill!

AnExtremelyLongName  Mar 30, 2020
 #11
avatar+241 
+1

Thanks CPhill!

Mathisgood  Mar 30, 2020

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