The inequality which best describe the third side of the triangle which has two sides of unit 20 and 31 is 20>b>31.
What is triangle inequality theorem?
Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,
(a+b)>c
(b+c)>a
(c+a)>b
The two sides of the triangle are 20 and 31. From the inequality theorem, the another side b can be represented as,
(20+31)>b
Thus, the length of b can be between 20 and 31.
20>b>31
Hence, the inequality which best describe the third side of the triangle which has two sides of unit 20 and 31 is 20>b>31 .
Learn more about the triangle inequality theorem here;
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