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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.

 Dec 7, 2019
 #1
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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 

 Dec 7, 2019
 #2
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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

 Dec 7, 2019
edited by Guest  Dec 7, 2019

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