kalisemorman kalisemorman
  • 07-02-2019
  • Mathematics
contestada

Which set of segment lengths could be used to construct a triangle? A) 3, 7, 12 B) 5, 7, 17 C) 5, 3, 12 D) 12, 6, 10

Respuesta :

gmany
gmany gmany
  • 08-02-2019

Answer:

D) 12, 6, 10

Step-by-step explanation:

If a,b and c are the sides of a triangle, then

a + b > c

a + c > b

b + c > a

If a ≥ b ≥ c then a + b > c.

A) 3, 7, 12

3 + 7 = 10 < 12    NOT

B) 5, 7, 17

5 + 7 = 12 < 17   NOT

C) 3, 5, 12

3 + 5 = 8 < 12   NOT

D) 6, 10, 12

6 + 10 = 16 > 12  YES

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