Please help A triangle has two sides of length 4 and 7 . What value could the
length of the third side be ? Check all that apply

A. 3

B. 9

C. 11

D. 5

E. 7

F. 17

B, D, E

Step-by-step explanation:

the sum of any 2 sides has always to be bigger than the 3rd side.

if they are equal, the triangle would be just a flat line (so, this is a special case, as some consider such a flat line an extreme triangle).

if they are smaller, the sides cannot connect to the third side, so it is not a triangle.

A. 3

this is such a special case, as 4+3 = 7

so, I think, your teacher would formally say this is not valid.

B. 9

4+9 > 7, 7+9 > 4 => valid option

C. 11

another special case, as 4+7=11.

so, not valid.

D. 5

4+5 > 7, 7+5 > 4 => valid option

E. 7

as D. yes, a valid option. it would be an isoceles triangle (2 equal sides).

F. 17

4+7<17

therefore, this is not a valid option