Question

Which set of three segments can form a triangle?

A. 32, 25, 57

B. 55, 67, 13

C. 19, 45, 68

D. 22, 19, 41

Answer 1

use this formula:

a+b>c
b+c>a
a+c>b

Answer 2

let me show you an example:

32+25 = 57, so it is not greater than 57 and cannot be a triangle.

Answer 3

Based from this, do you think you can the rest @meilendurcer ?

Answer 4

@Jamierox4ev3r no.. I don't really understand

Answer 5

okay let me do the next, B.
55+67 is greater than 13 YES
67+13 is greater than 55 YES
55+13 is greater than 6 YES

because all of the above guidelines in my first post work, the side lengths of answer B. can be a triangle. Does it make sense now?

Answer 6

now for C. :
19+45 is greater than 68 NO

the guideline is not true so the side lengths for answer C. cannot form a triangle

Answer 7

last but not least, D.

22+9 is greater than 41 NO

the guideline is not true because 22+9 is equal to 41, so the side lengths of D. cannot form a triangle. Now, that leaves us with one answer

Answer 8

the correct answer is B. Do you understand how i arrived at that conclusion @meilendurcer ?

Answer 9

@Jamierox4ev3r Yes, I do understand now Thank You.

Answer 10

good im glad :)