Answer:
Option A, B , C and D are correct.
Step-by-step explanation:
By triangle inequality theorem:
This theorem states that the sum of any two sides of a triangle must be greater than the third side.
As per the statement:
A triangle has two sides of lengths 8 and 10.
Let third side be x.
Sum of the two sides is:
8 + 10 = 18
By triangle inequality theorem:
18 > x
or
x < 18
⇒ the length of third side must be less than 18
From the given options:
Length of third sides 4, 7, 8, 10 which are less than 18
Therefore, the value which could the length of the third side be are: 4, 7, 8, 10
