Respuesta :
Answer:
The correct option is C.
Step-by-step explanation:
In a triangle, then sum of two smaller sides is greater than the length of third greatest side.
Let, in a triangle ABC, If the length of sides are [tex]a<b<c[/tex], then
[tex]c<a+b[/tex]
In option A,
[tex]8\nless 2+4[/tex]
Therefore option A is incorrect.
In option B,
[tex]6\nless 2+4[/tex]
Therefore option B is incorrect.
In option C,
[tex]7<3+5[/tex]
Therefore option C is correct.
In option D,
[tex]9\nless 3+5[/tex]
Therefore option D is incorrect.
Answer:
C. 3, 5, 7
Step-by-step explanation:
We know that in a triangle, 'the sum of lengths of two sides is always greater than the length of the third side'.
So, according to our options:
A. In 2, 4, 8. We have 2 + 4 = 6 < 8
B. In 2, 4, 6. We see that, 2 + 4 = 6
C. In 3, 5, 7. We see that, 3 + 5 = 8 > 7
D. In 3, 5, 9. We see that, 3 + 5 = 8 < 9.
Therefore, only option C satisfies the property of the triangle stated above.
Hence, 3, 5, 7 are the side lengths of a triangle.
