The ratio of the four sides of a trapezoid is 2:1:1:1. The area of the trapezoid is 27*sqrt3 Find the length of the median of the trapezoid.
The ratio of four sides of trapezoid is
2:1:1:1
The area of the trapezoid: 27^sqrt(3)
Well Sum
2 :1 :1 :1 :5
\(x_1\) \(x_2\) \(x_3\):\(x_4\)=\(27*\sqrt{3}\)
\(x_1=18.7 \)
\(\)\(x_2=x_3=x_4=9.35\)
Median:
9.35,9.35,9.35,18.7
The median is (9.35+9.35)/2=9.35 units
Tri-equilateral Trapezoid
Unequal side(a) = 12
equal sides(b) = 6
Median [12 + 6] / 2 = 9
Diagonal (d): 10.392
Height (h): 5.196
Circumcircle radius (rc): 6
Perimeter (p): 30
Area (A): 27sqrt(3)
Acute angle (α): 60
Obtuse angle (β): 120