Question 113273
I don't quite understand how you arrived at: 4x+(2x-8) = 29 cm?
Let the length of the base be x, then the length of one of the equal sides is x-8.
So you can express the perimeter of this triangle by: {{{P = S[1]+S[2]+S[3]}}}
P = (x-8) + (x-8) + x  Simplifying this we get:
P = 3x-16 but the problem says that this is equal to 29 cm, so...
29 = 3x-16  Add 16 to both sides.
45 = 3x  Divide both sides by 3.
15 = x
So the base is 15 cm in length.
The sides are x-8 or 15 - 8 = 7 cm.
So the answer is 7 cm.