Question

If the lengths of the sides of a certain triangle are a, b and c, which of the following statements could be true?

a.) c = b+ a
b.) c = b - a
c.) c = 2a + b
d.) c + 2 = a + b + 3
e.) c + 3 = a + b + 2

Answer 1

the sum of the lengths of two sides HAS to be GREATER than the length of the third side.

Answer 2

... to make a triangle

Answer 3

only one of the options meets this condition.

Answer 4

Would it be choice b then?

Answer 5

rewrite choice b) you get:
a+c =b

Answer 6

but b has to be less than a+c

Answer 7

Is it choice d?

Answer 8

re-writing d)
\[\Large c=a+b+1\]

Answer 9

\(c\) has to be less than \(a+b\)