Rectangular triangle

The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?

Correct result:

S =  54 cm2

Solution:

a=bx b=12 cm c=b+x  c2=a2+b2 (12+x)2=(12x)2+122 48x=144 x=144/48=3  a=bx=123=9 cm c=b+x=12+3=15 cm  S=a b2=9 122=54 cm2



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