Question

# A triangle har a perimetr of 239cm. If the 2nd side is thrice the length of the 1st side and the 3rd side is 6 less than the 2nd side. Find the length of all sides. 1st side =

Algebra foundations
A triangle har a perimetr of 239cm. If the 2nd side is thrice the length of the 1st side and the 3rd side is 6 less than the 2nd side. Find the length of all sides. 1st side =

Let x be the length of the 1st side so that 3x is the length of the 2nd side and $$\displaystyle{3}{x}−{63}{x}−{6}$$ is the length of the 3rd side. The perimeter is 239 cm so we can write:
$$\displaystyle{x}+{3}{x}+{\left({3}{x}−{6}\right)}={239}$$
$$\displaystyle{7}{x}−{6}={239}$$
$$\displaystyle{x}={35}$$
So, the 1st side measures 35 cm, the 2nd side measures $$\displaystyle{3}{\left({35}\right)}={105}{c}{m},$$ and the 3rd side measures $$\displaystyle{3}{\left({35}\right)}-{6}={99}{c}{m}.$$