Thread: The perimeter of a triangle is 76. Side a of the triangle is twicee as long as side b side c is 1cm longer tha -...

a = 2b c = a+1 = 2b + 1 b+ 2b + 2b + 1 = 76 5b = 75 b = 15 a = 30 c = 31

Let X be the length of side b a+ b+ c = 76 2X + X+ (2X+1)= 76 5X=75 X= 15 Therefore, a= 2X = 15x2 = 30 b= X = 15 c= 2X+1 = 31

put all the sides of the triangle in terms of b side a = 2b therefore side c will be: 2b+1(in cm) perimeter is all the sides added together so: b+2b+(2b+1)=5b+1 and the perimeter is given as 76 so; 5b+1=76 now solve for b to obtain 15. now you can find all side of the triangle side a= 30cm side b=15cm side c= 31cm now check by adding them all together to get 76cm