Find x if the sides of a triangle were 24 and 10

What are the different solutions

2 answers

the 3rd side of a triangle must be long enough to connect the ends of the other two sides
... it must also be short enough that the other two sides can connect its ends

difference of other two sides <
... 3rd side < sum of other two sides
x+24>10 AND x+10>24 AND 24+10> x
x > -14 AND x > 14 AND x < 34

so 14 < x < 34