A triangle has two sides of length 8 and 10. What value could the length of the third side be? Check all that apply. A. 18
B. 7
C. 10
D. 4
E 20
F. 8

We have an inequality triangular theorem that "If ABC is a triangle, then AB+BC >AC, AC+BC >AB and AC+AB>BC i.e. the sum of any two equal sides of a triangle should be greater than the third side.

We will use same theorem here:

Lets take the first choice, A:

8 , 10 and 18. Here we see that 8 +10 > 18 is incorrect. Therefore, the triangle with side length of 8, 10 and 18 doesn't exist.

Take another choice, B:

8, 10 and 7

Here, 8 +10 > 7, 10+7 >8 and 7+8 > 15. Therefore, option B is the correct answer.

You can use the same theorem in other options.

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step-by-step explanation: