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

Answer Link

Otras preguntas

How many 3 3/4 inch wires can be cut from a spool of wire that is 100 inches long. Will there be any wire left over? If so, how much? (Explain the steps)
What is 3576 divided by 9.1
a sticker cost15 cent and a packet of 8 similar stickers cost 1 dollar. clementbuys 37 stickers. what is the least amount of money that clement spends on sticke
why is it important for scientists to be curious?
a sticker cost15 cent and a packet of 8 similar stickers cost 1 dollar. clementbuys 37 stickers. what is the least amount of money that clement spends on sticke
7(2x-4)-(10-3x) How do I simplify this expression?
write a fraction with a decimal value between 1/2 and 3/4 write both the fraction and the equivalent decimal
What is 3576 divided by 9.1
what was the main reason that the birth rate in America declined during the great depression
The theory of a land bridge between South America and Africa as an explanation for similar fossils on the two continents is not supported today because _____.