Trapezoid 25

Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s.
Find the length of the median of Trapezoid PART in terms of s.

Correct answer:

m = 3/2 s

Step-by-step explanation:

x+2x+x+2x = 360 x=360/(1+2+1+2)=60   cos x = z/s cos 60° = 21 = z/s 1:2 = z:s  z= 0.5   s  PT = 2 z +s = 2 0.5   s +s = s+s = 2s  m = 2PT + AR m =  22s + s   m=3/2 s



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