Question

Select all the sets of three side lengths that will make a triangle.

A. 3,4,8
B. 7, 6, 12
C. 5, 11, 13
D. 4, 6, 12
E. 4, 6, 10
ОА
Ов
Ос
OD
ОЕ

Answer 1

B, C

Explanation:

to make a triangle the sum of lengths of any and every pair of sides must be longer than the third side. otherwise the end points cannot connect.

A

3+4<8 so, it cannot be a triangle.

B

7+6>12 true

7+12>6 true

6+12>7 true

C

5+11>13 true

5+13>11 true

13+11>5 true

D

4+6<12 so, it cannot be a triangle.

E

special case

4+6 = 10

but 4+6 is not longer than 10, so, all 3 lines would "fold" into one flat line. that does not count as triangle either, although I, personally, would consider it an "extreme triangle". but the general definition does not agree with me and requires the "longer than" condition.