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One side of a triangle is 4 times longer than the shortest side and the third side is 3 centimeters less than twice the length of the shortest side. The perimeter of the triangle is 46.How long is the shortest side of the triangle?

Respuesta :

Let's use the variable x to represent the shortest side of the triangle.

If one side is 4 times longer than the shortest side, it measures "4x".

If the third side is 3 cm less than twice the length of the shortest side, it measures "2x - 3".

So, if the perimeter is 46 cm, we have:

[tex]\begin{gathered} x+4x+2x-3=46 \\ 7x-3=46 \\ 7x=49 \\ x=\frac{49}{7}=7 \end{gathered}[/tex]

So the shortest side measures 7 cm.

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