Triangle is the closed shaped polygon witch has three sides and three angle. The sum of the any two sides of the triangle is greater then the third side of the triangle. The range of the third side of the triangle that have measures of the two sides are 13 and 27 units is,
[tex]14<x<40[/tex]
Given information-
The measures of the two sides of the triangle are 13 and 27 units.
To get the third side of the triangle the side rule of the triangle must be known.
Side rule of the Triangle-
The sum of the any two sides of the triangle is greater then the third side of the triangle.
Let a triangle with sides A, B and C. The sum of the first and second sides of the triangle is greater then the third side of the triangle. Thus,
[tex](A+B)>C[/tex]
[tex](A+C)>B[/tex]
[tex](B+C)>A[/tex]
For the given triangle the measures of the two sides of the triangle are 13 and 27 units. Thus range of the third side [tex]x[/tex] is,
[tex](27-13)<x<(27+13)[/tex]
[tex]14<x<40[/tex]
Hence the range of the third side of the triangle that have measures of the two sides are 13 and 27 units is,
[tex]14<x<40[/tex]
Learn more about the side rule of the triangle here;
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