#1**+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**+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

CPhill
Oct 11, 2018