Sum of squares

The sum of squares above the sides of the rectangular triangle is 900 cm2. Calculate content of square over the triangle's hypotenuse.

Correct result:

S =  450 cm2

Solution:

900=a2+b2+c2 c2=a2+b2 900=c2+c2 2c2=900  c=900/2=15 2 cm≐21.2132 cm  S=900/2=450 cm2

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