## Geometry: Common Core (15th Edition)

Set the smallest side length equal to x. Then according to the extended ratio 6:7:9, the middle side length is equal to $\frac{7}{6}$x, and the largest side length is equal to $\frac{9}{6}$x. Given the perimeter is equal to 88, we set up the following equation: x + $\frac{7}{6}$x + $\frac{9}{6}$x = 88 $\frac{22}{6}$x = 88 x=24 To solve for the other two sides, we have: $\frac{7}{6}$x = $\frac{7}{6}$(24) = 28 and $\frac{9}{6}$x = $\frac{9}{6}$(24) = 36