Use the image to answer the question.
A triangle with its base labeled c and its two sides labeled a and b.
Which of the following options is not true?
Option 1: a+b>c
Option 2: c+b=a
Option 3: a+c>b
(1 point)
Option
is not true.
Option 2: c+b=a is not true.
Option 2: c+b=a is not true.
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the Triangle Inequality Theorem.
So, option 1: a+b>c is true.
And option 3: a+c>b is also true.
However, option 2: c+b=a is not true because the sum of the lengths of the two sides (c and b) must be greater than the length of the third side (a), not equal to it.