How Do I Find The Missing Side Length Of An Obtuse Triangle?

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8 Answers

Anonymous Profile
Anonymous answered
Use the cosine law:
C2=A2+B2-2ABCosC
C2=(6)2+(6)2-2(6)(6)Cos120
C2=36+36-72Cos120   ***Cos120=-0.5***
C2=72+36
C2=108
C=10.39230485
Therefore the other side is 10.4 yards long.
Oddman Profile
Oddman answered
The length of the third side is between 6sqrt[2] (=8.49) and 12.

Because you said it is an obtuse triangle, we know the angle between the given sides is at least 90 degrees. 6sqrt[2] is the length of the third side if the angle is exactly 90 degrees. 12 = 6+6 is the length of the third side if the angle is 180 degrees.

Without knowing any angles, the area, or some other dimension or characteristic, two sides do not define a triangle.
thanked the writer.
Anonymous
Anonymous commented
The angle where the 2 sides (of 6 yds each) meet is 120 degrees.
Please help me determine the 3rd side's length.
Oddman
Oddman commented
The bisector of the 120 degree angle divides the triangle into two parts that are 30-60-90 right triangles. Half the length of the long side is 6sin[60 degrees] yds = 6sqrt[3]/2 yds. So the full length of the long side is 6sqrt[3] yds, about 10.392 yds.
Anonymous Profile
Anonymous answered
Length of a=1145 and b=1145.
Anonymous Profile
Anonymous answered
The 2 sides are 150 and the angle in between is 170
Anonymous Profile
Anonymous answered
20 48
Anonymous Profile
Anonymous answered
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