AP RT triangle

The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area?

Correct answer:

o =  72 cm
S =  216 cm2

Step-by-step explanation:

b=24 cm a=bd c=b+d c2=a2+b2 (b+d)2=(bd)2+b2  (24+d)2=(24d)2+242 96d=576 d=576/96=6  a=bd=246=18 cm c=b+d=24+6=30 cm  o=a+b+c=18+24+30=72 cm
S=a b2=18 242=216 cm2

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