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31 votes
State if the three numbers can be the measures of the sides of a triangle. 12, 18, 9

User Sitesh
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1 Answer

26 votes
26 votes

Triangle ABC

Apply rule of Cosin

If 12^ + 9^2 - 2•12•9 Cos X= 18^2

Then

144+ 81 - 216CosX = 324

CosX = (324 -225)/(-216) = 99/-216

CosX = -0.46

Then answer is YES, its a triangle because CosX only have values

between -1 and 1, and -0.46 is between them

User Jardanian
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