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The expression 17n+11 represents the perimeter of the triangle. write an expression that represents the measure of the third side.

The Expression 17n11 Represents The Perimeter Of The Triangle Write An Expression That Represents The Measure Of The Third Side class=

Sagot :

Given the shown triangle with the lengths of two sides:

[tex](5n+6),(4n+5)[/tex]

Given the perimeter of the triangle : ( 17n + 11)

The perimeter of the triangle is the sum of the sides lengths

Let the third side length = L

So,

[tex]L+(5n+6)+(4n+5)=17n+11[/tex]

Solve to find L:

[tex]\begin{gathered} L+5n+6+4n+5=17n+11 \\ L+9n+11=17n+11 \\ L=17n-9n+11-11 \\ L=8n \end{gathered}[/tex]

So, the length of the third side = 8n

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