Problema Solution
The medium side of a triangle is 9 more than the shortest side, and the longest side is 4 times the shortest side. If the perimeter is 31 in., find the lengths of the sides of the triangle
Answer provided by our tutors
Let 'x' represent the shortest side the the medium side is '9 + x' and the longest side is '4x'.
The perimeter is 31 in means:
x + 9 + x + 4x = 31
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click here to see the equation solved for x
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x = 11/3
x = 3 2/3 in = 3.67 in
x + 9 = 3 2/3 + 9 = 12 2/3 in = 12.67 in
4x = 4*11/3 = 44/3 = 11 1/3 in = 11.33 in
The lengths of the sides are: 3.67 in, 12.67 in and 11.33 in.