+0  
 
-1
40
3
avatar+464 

Here is the question

 

shreyas1  Oct 11, 2018
 #1
avatar
+1

Have you made any sort of attempt at it ?

 

If so, show us what you've done so that we can see where we can best help you.

Guest Oct 11, 2018
 #2
avatar+90023 
+1

Let the bottom left vertex of the equilateral triangle be (0,0)

 

In a 30-60-90 right triangle, the side  opposite the right angle is [side opposite the 30° angle * 2 ] =  [6 *2] = 12  = side of equilateral triangle

 

The side of the the right triangle opposite the 60° angle is  [side opposite the 30° * √3 ] = [ 6√3 ]  = √108

 

 

So....the top right vertex of the right triangle  is   ( 12 , √108 )

 

So...the distance  that this vertex is  from ( 0 , 0)  is given by  :

 

√ [ 12^2  + (√108)^2  ]  =

 

√ [ 144 + 108  ]  =

 

√ [252]  =

 

√  [ 4 * 9 * 7 ] =

 

2*3 √7  =

 

6√7  units

 

 

cool cool cool

CPhill  Oct 11, 2018
edited by CPhill  Oct 11, 2018
 #3
avatar+9648 
+2

Here is the answer.

laugh

Omi67  Oct 11, 2018
edited by Omi67  Oct 11, 2018

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