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.

Result

m = (Correct answer is: 3/2 s) Wrong answer

Solution:

x+2x+x+2x=360 x=360/(1+2+1+2)=60∘  cos⁡x=z/s cos⁡60∘=12=z/s 1:2=z:s  z=0.5⋅ s  PT=2⋅ z+s=2⋅ 0.5⋅ s+s=s+s=2s  m=PT+AR2 m=2s+s2  m=3/2 s

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