R triangle

Calculate the area of a right triangle whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg.

Correct result:

S =  158.9 dm2

Solution:

c2=a2+b2 a=c6 a=b+3 a>0 b>0  b226b26362=0  b=6+262+263=16.39 dm a=b+3=19.39 dm  S=12ab=12(b+3)b=158.9 dm2



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