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Elenna [48]
3 years ago
8

By the Triangle Inequality Theorem, if two sides of a triangle have lengths of 6 and 13, what are the possible lengths of the th

ird side?
Mathematics
1 answer:
melamori03 [73]3 years ago
6 0
The <span>Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:

 a=6   (the lenght of a side of the triangle).
 b=13   (t</span>he lenght of a side of the triangle).<span>
 c=x    (the length of the third side).

 Therefore:

 c<a+b
 c<6+13
 c<19

 The lenght of the third side is:

 (13-6)<c<19
 7<c<9</span>
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