Question

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

Answer 1

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