The perimeter

The perimeter of equilateral △PQR is 12. The perimeter of regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to the area of STUVWX?

Correct result:

r =  2:3

Solution:

p1=12 a1=p1/3=12/3=4  p2=12 a2=p2/6=12/6=2  Ska2 k=3/40.433  S1=a12=42=16 S2=6 a22=6 22=24  r=S1/S2=16/24=230.6667=2:3



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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
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