If the height of an equilateral triangle GBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔGBC is how many times as long as a leg of the right triangle DEF?  Pick one
A) (√2)/(√3)
B) (√3)/(√2)
C) √2
D) (2√2)/(√3)
E) 2/(√3)
Side of the equilateral triangle GBC = 2m ----&gt; height = m * sqtr(2)   Hipotenuse of the right triangle GBC = m * sqrt(3) ----&gt; side = m * sqtr(3) / sqtr(2)   Question is 2m/m * sqtr(3) / sqtr(2) = 2*sqrt(2)/sqrt(3)=(2√2)/(√3)
<result>D</result>
If the height of an equilateral triangle GBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔGBC is how many times as long as a leg of the right triangle DEF?