Two sides of a triangle measure 17 inches and 20 inches. Which CANNOT be the length of the remainig side? B
37
A
7
D
20
12

Work Shown:

We have a triangle with sides a,b,c such that

The third side c can be represented by this inequality

b-a < c < b+a

which is a modified form of the triangle inequality theorem.

Plug in the given values to get

b-a < c < b+a

20-17 < c < 20+17

3 < c < 37

The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.

Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.

The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.

So that's why 37 is the only possible answer here.

i will pick c put check it over to be sure

step-by-step explanation:

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .