With an extended ratio you can express the lengths of the sides with respect to the factor x.
7 cm
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An extended ratio compares three or more numbers. In an extended ratio a : b : c, the ratio of the first two numbers is a : b, the ratio of the last two numbers is b : c, and the ratio of the first and last numbers is a : c. We want to find the length of the shortest side in a triangle with sides that fit the given extended ratio.
1/4 : 1/3 : 1/6
This means that we can express the lengths of the sides of the triangle as 14x, 13x, and 16x.
We know that the perimeter of the triangle is 31.5 centimeters. Therefore, the sum of the side lengths of the triangle is 31.5.
1/4x + 1/3x + 1/6x=31.5
Let's solve this equation and find x.
