Two rhombuses have sides with lengths of #5 #. If one rhombus has a corner with an angle of #pi/12 # and the other has a corner with an angle of #pi/3 #, what is the difference between the areas of the rhombuses?
1 Answer
Jul 10, 2017
Explanation:
To calculate the areas, I'm using the formula for a parallelogram
Rhombus with angle of
#sin (pi/12)=h/5#
#h= 5 sin (pi/12)#
#A=bh#
#A=5 * 5 sin (pi/12)#
#A=25 sin (pi/12) ~~ 6.47#
Rhombus with angle of
#sin (pi/3)=h/5#
#h= 5 sin (pi/3)#
#A=bh#
#A=5 * 5 sin (pi/3)#
#A=25 sin (pi/3) ~~ 21.65#
Difference between the areas:
