Laths

There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage both laths and touch at a height of 70 cm above the garage floor. How wide is the garage?

Correct result:

x =  4.7907 m

Solution:

a=2 m b=3 m c=0.70 m x1=a2c2=220.721.8735 m x2=b2c2=320.722.9172 m x=x1+x2=1.8735+2.9172=4.7907 m

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