Free space in the garden

The grandfather's free space in the garden was in the shape of a rectangular triangle with 5 meters and 12 meters in length. He decided to divide it into two parts and the height of the hypotenuse. For the smaller part creates a rock garden, for the larger sows grass. How many square meters has a larger part?

Correct result:

S =  25.5621 m2


a=5 m b=12 m  c=a2+b2=52+122=13  S1=a b2=5 122=30 m2 S1=c v2  v=2 S1c=2 3013=60134.6154 m  cc1=a2 cc2=b2  c1=a2c=5213=25131.9231 m c2=b2c=12213=1441311.0769 m  S=c2 v2=11.0769 4.61542=4320169=25.5621 m2

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