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The perimeter of the triangle below is 72 units. Fine the length of side PR write your answer without variables.

The Perimeter Of The Triangle Below Is 72 Units Fine The Length Of Side PR Write Your Answer Without Variables class=

Sagot :

In this problem, we have a triangle with sides:

• PR = 4x,,

,

• RQ = x + 3,

,

• QP = 5x - 1,

,

• and perimeter p = 72.

By definition, the perimeter is the sum of the length of the sides, so we have:

[tex]\begin{gathered} p=PR+RQ+QP, \\ 72=(4x)+(x+3)+(5x-1)\text{.} \end{gathered}[/tex]

Solving for x the last equation, we find that:

[tex]\begin{gathered} 72=10x+2, \\ 72-2=10x \\ 70=10x \\ x=\frac{70}{10}=7. \end{gathered}[/tex]

Replacing the value x = 7 in the equation of side PR, we have:

[tex]PR=4\cdot7=28.[/tex]

Answer

PR = 28

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