If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z? A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm

Given:

In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.

To find:

The possible value of side z.

Solution:

In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.

Case I: Let x be the largest side, then

              ...(i)

It is clear that . So, y cannot be a largest side.

Case II: Let z be the largest side, then

              ...(ii)

From (i) and (ii), we get

It means the value of z lies between 11 and 19.

From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.

Therefore, the correct option is C.

step-by-step explanation:

(s)he  is right it would be 5.5% because it is smaller than 15.5% or anything smaller than 15.5% in general