Atriangle has two side of length 10 and 14 what value could the length of the third side be check all that apply a) 26b) 16c) 10d) 8e) 5f) 2

To solve such problems we need to know about the triangle inequality theorem.

According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than or equal to the third side.

A triangle has two sides of length 10 and 14.

As given two sides, therefore,

a = 10,

b = 14,

(a+b) ≥ c,

(10+14) ≥ c,

(24) ≥ c,

Therefore, any side less than or equal to 24 can be the third side of the triangle,

A) 26,

26 is greater than 24. thus, A can not be the third side of the triangle.

B) 16

16 is less than 24. thus, B can be the third side of the triangle.

C) 10

10 is less than 24. thus, C can be the third side of the triangle.

D) 8

8 is less than 24. thus, D can be the third side of the triangle.

E) 5

5 is less than 24. thus, E can be the third side of the triangle.

F) 2

2 is less than 24. but, the sum of 10 and 2 will not be greater than the third side which is 14. thus, F can not be the correct option.

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

if a ≤ b ≤ c, then a + b > c.

A) 10, 14, 26

10 + 14 = 24 < 26   INCORRECT  :(

B) 10, 14, 16

10 + 14 = 24 > 16  CORRECT :)

C) 10, 10, 14

10 + 10 = 20 > 14  CORRECT :)

D) 8, 10, 14

8 + 10 = 18 > 14   CORRECT :)

E) 5, 10, 14

5 + 10 = 15 > 14   CORRECT :)

F) 2, 10, 14

2 + 10 = 12 < 14   INCORRECT :(

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

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