amariasalomon19
amariasalomon19 amariasalomon19
  • 24-11-2021
  • Mathematics
contestada

Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8

Respuesta :

Аноним Аноним
  • 24-11-2021

Answer:

B, D and E

Step-by-step explanation:

The first triangle inequality theorem states:

the lengths of any two sides of a triangle must add up to more than the length of the third side.

So as long as the sum of the two shortest is greater than the longest side a triangle is possible

А

7 + 9 < 17  NO

B

2 + 7 > 8   YES

C

1 + 3 < 5   NO

D

3 + 5 > 6   YES

E

12 + 12 > 13  YES

F

3 + 8 = 11    NO

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