Problema Solution
the measure of the three sides of a triangle are consecutive even integers.the perimeter of the triangle is 54 cm. what is the length of the longest side?
Answer provided by our tutors
Тhe 3 consecutive even integers can be written as:
2x - 2, 2x, 2x + 2, where x is integer.
In this case the longest side is 2x + 2 since:
2x - 2 < 2x < 2x + 2
The perimeter is 54 cm means:
(2x - 2) + 2x + (2x + 2) = 54
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click here to see the equation solved for x
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2x + 2 = 2*9 + 2 = 20
The length of the longest side is 20 cm.