Question

Correct answer gets brainlisted

Write TWO equations using symbolic language.
The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 48?
Let x = length of shortest side​

Answer 1

Answer:

Explanation:

We can convert this into a slightly more abstract problem as follows:

For "perimeter" we can read "sum"

For "lengths of the sides of a triangle" we can read "three numbers"

If the middle of the three consecutive odd integers is n, then the smallest is n−2, the largest is n+2 and we have:

45=(n−2)+n+(n+2)=3n

Hence n=453=15 and the largest of three numbers (i.e. the length of the longest side of the triangle in inches) is n+2=15+2=17