Atriangle has two sides of lengths 8 and 10.what value could the length of the third side be? check all that apply..
a: 10
b: 8
c: 7
d: 4
e: 20
f: 18

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

A: 10

B: 8

C: 7

D: 4

Step-by-step explanation: