Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area.

What will be the length of path XY? Help, please, geodesist.

Correct answer:

|XY| =  91.2 m

Step-by-step explanation:

c=c2=129 m 2S1=S2  S1=2c1h1 S2=2c2(h1+h2)  h1c1=h1+h2c2 h1+h2=c1c2h1  22c1h1=2c2(h1+h2) 2c1h1=c2(h1+h2) 2c1h1=c2c1c2h1  2c12h1=c22h1 2c12=c22 c12=c22/2 c1=c2/2=129/2=91.2 m

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