Problema Solution
One side of triangle is 4 more than 3 times the shortest side. The third side is 24 feet more than the shortest side. The perimeter is 88. Find all three sides.
Answer provided by our tutors
let 'a', 'b' and 'c' be the sides of the triangle and a>b>c
The perimeter is 88 ft
a + b + c = 88
one side of triangle is 4 more than 3 times the shortest side
a = 4 + 3c
the third side is 24 feet more than the shortest side.
b = 24 + c
by solving the system of equations
a + b + c = 88
a = 4 + 3c
b = 24 + c
we find
a = 40 ft
b = 36 ft
c = 12 ft
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the three sides are 40, 36 and 12 feet.