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G=( a + b + c =12) What we know is that the perimeter of the triangle is twelve and the perimeter is all the sides added up. So that is a plus b plus c
C)=( a + b=12−c) In order to get the correct order for Pythagoras theorem (a2 + b2 =c2) you must put the c onto the other side of the equal sign. The positive c will then turn into a negative number.
A)= (a2+ 2ab +b2=144-24c+c2) We now can square both sides of the equation so that we are able to simplify when we reach the next step. So (a+b)2 = a2+ 2ab +b2 and for the other side 12x12=144 (The twelve is from the perimeter)and the 24 = 12x2
F)=( a2 + b2 =c2) Now we can use the Pythagoras theorem
D)= (2ab=144-24c) When we get rid of the a2,b2 and c2 it will just equal 2ab=144-24c
H)= (ab=72-12c) We can then simplify the equation by dividing everything by two so then 2ab/2=ab, 144/2=72 and 24x/2=12c
E)= (Area of triangle= ab/2) To find the area of a triangle the equation is axb/2
B)= (36-6c) Therefore we know a and we know b so the equation must be 36-6c