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 answer:

S =  54 cm2

Step-by-step explanation:

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=2a b=29 12=54 cm2

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