Question

Which of the following lengths could form a triangle? (A)34,40,83 (B)5,33,51 (C)19,31,50 (D)13,18,29

Answer 1

Let a, b and c

The lengths of triangle

The sum of two sides will always be larger than the other side.


Then,

| b - c | < a < b + c
| a - c | < b < a + c
| a - b | < c < a + b

To the question A)

a = 83

83 < 40 + 34

83 < 74

False!
____________

Letter B)

a = 51

51 < 33 + 5

False!
___________

Letter C)

a = 50

50 < 31 + 19

False!
____________

Now on the letter D)

a = 29

29 < 18 + 13

29 < 31

It is correct!

Then,

The letter D) would be the answer!