Question

If a triangle has 2 sides of 8 and 11 what could the third side be

Answer 1

Any value between 3 and 19 may be the measure of third side.

Explanation:

If three sides of a triangle are a, b, and c, possible measures of the sides of a triangle will be.

1). a + b > c

2). b + c > a

3). a + c > b

If a = 8, b = 11,

1). 8 + 11 > c

c < 19

2). 11 + c > 8

c > 8 - 11

c > (-3)

3). 8 + c > 11

c > 11 - 8

c > 3

Therefore, by combining the given inequalities,

3 < c < 19

Any value between 3 and 19 may be the measure of third side.