In the pythagoras theorem, if the formula is a^2+b^2=c^2, How do you do it if a=1/3 and b=2/3?
G gracierox77 New member Joined Sep 16, 2005 Messages 17 Sep 16, 2005 #1 In the pythagoras theorem, if the formula is a^2+b^2=c^2, How do you do it if a=1/3 and b=2/3?
D dagr8est Junior Member Joined Nov 2, 2004 Messages 128 Sep 17, 2005 #2 gracierox77 said: In the pythagoras theorem, if the formula is a^2+b^2=c^2, How do you do it if a=1/3 and b=2/3? Click to expand... In general, (x/y)^z = (x^z)/(y^z) where y cannot be 0. So in your case, (1/3)^2=(1^2)/(3^2)=1/9 and (2/3)^2=(2^2)/(3^2)=4/9. Solve for c and you should get +/-sqrt(5)/3. If you are applying this to an actual triangle, you can ignore the negative possibility.
gracierox77 said: In the pythagoras theorem, if the formula is a^2+b^2=c^2, How do you do it if a=1/3 and b=2/3? Click to expand... In general, (x/y)^z = (x^z)/(y^z) where y cannot be 0. So in your case, (1/3)^2=(1^2)/(3^2)=1/9 and (2/3)^2=(2^2)/(3^2)=4/9. Solve for c and you should get +/-sqrt(5)/3. If you are applying this to an actual triangle, you can ignore the negative possibility.