The Lengths Of The Sides Of A Triangle Can Be Represented By Three Consecutive Integers. The Perimeter Is 96cm. Find The Length Of The Longest Side Of
the lengths of the sides of a triangle can be represented by three consecutive integers. the perimeter is 96cm. find the length of the longest side of the triangle.
Answer:
33cm is the longest side of the triangle
Step-by-step explanation:
Consecutive integers can be represented by
x, x + 1, x + 2
If the Perimeter of a Triangle is 96cm, so our equation will be
x + (x + 1) + (x + 2) = 96
If we want to know the value pf x we have to solve the equation
x + (x + 1) + (x + 2) = 96
3x + 3 = 96
Transpose 3 and then change the sign
3x = 96 - 3
3x = 93
3/3x = 93/3
x = 31
So x = 31 we will just have to substitute it
x = 31cm
x + 1 =
31 + 1 = 32cm
x + 2 =
31 + 2 = 33cm
So 33cm is the longest side of the triangle
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