Problema Solution
A triangle has a perimeter of 40 inches. The medium side is 5 more than the short side, and the longest side is 5 times the length of the shortest side. Find the shortest side.
Answer provided by our tutors
let 'a', 'b' and 'c' be the sides of the triangle and a>b>c
A triangle has a perimeter of 40 inches
a + b + c = 40
the medium side is 5 more than the short side
b = 5 + c
longest side is 5 times the length of the shortest side
a = 5*c
by solving the system of equations
a + b + c = 40
b = 5 + c
a = 5*c
we find
a = 25 in
b = 10 in
c = 5 in
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