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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