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
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asked 2020-11-26
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 =

Answers (1)

2020-11-27
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:
\(\displaystyle{x}+{3}{x}+{\left({3}{x}−{6}\right)}={239}\)
Solve for x:
\(\displaystyle{7}{x}−{6}={239}\)
\(\displaystyle{x}={35}\)
So, the 1st side measures 35 cm, the 2nd side measures \(\displaystyle{3}{\left({35}\right)}={105}{c}{m},\) and the 3rd side measures \(\displaystyle{3}{\left({35}\right)}-{6}={99}{c}{m}.\)
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