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Manhattan Prep
If the hypotenuse of isosceles right triangle ABC has the same length as the height of equilateral triangle DEF, what is the ratio of a leg of triangle ABC to a side of triangle DEF?
A. \(\sqrt{2}/2\)
B. \(\sqrt{3}/2\)
C. \(\sqrt{3}/(2\sqrt{2})\)
D. \(\sqrt{2}/\sqrt{3}\)
E. \(\dfrac{3}{2}\)
OA C
If the hypotenuse of isosceles right triangle ABC has the same length as the height of equilateral triangle DEF, what is the ratio of a leg of triangle ABC to a side of triangle DEF?
A. \(\sqrt{2}/2\)
B. \(\sqrt{3}/2\)
C. \(\sqrt{3}/(2\sqrt{2})\)
D. \(\sqrt{2}/\sqrt{3}\)
E. \(\dfrac{3}{2}\)
OA C
