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a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 19 feet more than the length of the shortst side. find the dimensions if the perimeter is 187 feet

Respuesta :

Let's assume

shorter side as x

so, first side =2x

third side =x+19

now, we can find perimeter of triangle

perimeter of any triangle is

first side + shortest side + third side

so, we get

[tex]P=2x+x+x+19[/tex]

we are given perimeter=187

so, we can set it to 187

and then solve for x

[tex]187=2x+x+x+19[/tex]

[tex]187=4x+19[/tex]

[tex]4x+19-19=187-19[/tex]

[tex]4x=168[/tex]

[tex]x=42[/tex]

so,

shortest length is x=42 feet

First side =2x=2*42=84feet

third side =x+19=42+19=61 feet

so, dimensions are

first side is 42 feet

second side is 84 feet

third side is 61 feet................Answer

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