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The figure below is not drawn to scale. We are given the angle measures in the figure below. Which of line AB, AC, AD, BC, BD, and CD is the shortest side?

 

 Feb 12, 2022
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In triangle(ABD), angle(B) = 35o, so AD is the shortest side.

 

In triangle(ACD), angle(CAD) = 55o, so CD is the shortest side.

Since CD is shorter than AD, CD is the shortest.

 

[Using the idea that, in a triangle, the shortest side is opposite the smallest angle.]

 Feb 12, 2022

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