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A triangle has two sides of length 4 and 15. What value could the length ofthe third side be? Check all that apply. A. 12B.13C. 4D. 11 E. 19F. 15

User Jossette
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1 Answer

23 votes
23 votes
Answer:

A. 12

Explanations:

Let the first side of the triangle be, x = 4

Let the second side of the triangle be , y = 15

Let the third side be represented as z

The third side of the triangle (z) will take a value that is greater than y - x, but less that x + y.

This can be described mathematically as:

y - x < z < x + y

y - x = 15 - 4

y - x = 11

x + y = 15 + 4

x + y = 19

This means that:

11 < z < 19

Among the options, the only value that is in between 11 and 19 is 12

The only value that could be the length of the third side is 12

User Sharen
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