The perimeter of a triangle is the sum of its side lengths.
The shortest side is 42 inches
The ratio is given as:
[tex]\mathbf{Ratio = 9 : 7 : 3}[/tex]
The perimeter is given as:
[tex]\mathbf{Perimeter = 266}[/tex]
The smallest ratio is 3.
So, the shortest side is:
[tex]\mathbf{Short = \frac{3}{9 + 7 + 3} \times Perimeter}[/tex]
This gives
[tex]\mathbf{Short = \frac{3}{9 + 7 + 3} \times 266}[/tex]
[tex]\mathbf{Short = \frac{3}{19} \times 266}[/tex]
Multiply
[tex]\mathbf{Short = \frac{798}{19} }[/tex]
Divide
[tex]\mathbf{Short = 42 }[/tex]
Hence, the shortest side is 42 inches
Read more about perimeters at:
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