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It starts off with :

G- a + b + c = 12

Because we have to find out what 'c' is, we have to subtract 'c' from 12

C- a + b = 12 - c

After we have to follow Pythagoras Theorem to be able to find out the hypotenuse

F - a² + b² = c²

A- Squaring both sides: a²+2ab+ b²=144−24c+c²

D - So 2ab = 144- 24c

Because we are trying to figure out a side of a TRIANGLE, we'll have to find out the overall area

E = Area of the triangle = ab/2

And for the lat step you'll have to DIVIDE by 2

H = Dividing by 2 : ab = 72 - 12c

After finding out the area we got the Area of the Triangle

B = So Area of the triangle = 36-6c