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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?

 Jan 21, 2022
 #1
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The shortest side is AC.

 Jan 21, 2022
 #2
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This figure is not drawn to scale. 

We can exclude BD and AB because using the Hinge Theorem, AD is the smallest line segment out of triangle ADB.

Angle C = 65, Angle CDA = 60, and Angle DAC = 55.

Then using the Hinge Theorem, CD is the included side of the two largest angles in triangle ACD:

Therefore CD is the shortest side.

 

 

smiley

 Jan 23, 2022

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