To find: The conjecture how the ratio of side length of any
Given information:
Change the shape of the triangle by dragging its vertices and observe how the ratio we found changes. Make a conjecture about how these ratios are related for any triangle.
Explanation:
From the given triangle, it is found that:
Now drag the vertices of triangle
Then, find the ratios as follows:
As we drag the vertices of the triangle, we will see that although the ratio changes it is the same for the three sides of the triangle.
Hence, the conjecture is:
The Law of Sines relates the ratio of side lengths of any triangle to their respective opposite angles. It is given as:
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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