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


Comments

Popular posts from this blog

Introduce The Term Atmosphere.

If The Letters Of The Word Mathematics Are Repeatedly And Consecutively Written What Is The 20162122 Letter?