# Which of the following set of numbers represent three sides of a triangle?

##
(a) #5,3# and #2#

(b) #9,5# and #15#

(c) #8,10# and #6# or

(d) #4,6# and #10#

(a)

(b)

(c)

(d)

To enable a set of three numbers to represent three sides of a triangle, sum of smaller two numbers must be greater than the largest number. Hence, only

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To determine if a set of numbers represents three sides of a triangle, we can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, given a set of numbers (a), (b), and (c), where (a), (b), and (c) are the lengths of the sides of a triangle:

(a + b > c), (a + c > b), and (b + c > a).

If these conditions are met, then the set of numbers represents three sides of a triangle. If not, it does not form a triangle.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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