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Zanzabum
3 years ago
6

The perimeter of a triangle is 42 yards. the first side is 5 yards less than the second side, and the third side is 2 yards less

than the first side. what is the length of each side?
Mathematics
2 answers:
Zina [86]3 years ago
7 0
The 1st side is 13 yards, the 2nd is 18 yards, and the 3rd is 11 yards
7nadin3 [17]3 years ago
4 0
So, let's start off with what you know. 
You know that <span>the perimiter of the triangle is 42 yards.
You know that the first side is 5 yards less than the second.
You know that the third side is 2 yards less than the first.
So, we can make the second side x.
We come up with something like this : 

Second Side : x
First Side : x-5
Third Side : x-7

Now we make an equation.

x+x+x-5-7 = 42
3x-12 = 42
    +12    +12
3x      =  54
     3x = 54
       x = 18
So the second side is 18 yards.
Then we can find the First side.
First side is 13 yards.
Then the third side.
The Third side is 11 yards.
So the lengths are : 

First Side : 13 Yards
Second Side : 18 Yards
Third Side : 11 Yards.

I hope I was able to help!</span>
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Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.

<h3>Least common multiple</h3>

A number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.

The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.

One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.

<h3 /><h3>Smallest number of packages</h3>

To calculate the smallest number of packages of each they can buy, you calculate the least common multiple.

First, the decomposition of the numbers into prime factors is carried out:

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Solving, the least common multiple between 12 and 15 is 60.

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8 0
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