SOLUTION: Can the sides of a triangle have lengths of 22, 34, and 42?

Algebra ->  Triangles -> SOLUTION: Can the sides of a triangle have lengths of 22, 34, and 42?      Log On


   



Question 682245: Can the sides of a triangle have lengths of 22, 34, and 42?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a = 22
b = 34
c = 42


Check to see if a + b > c is true

a + b > c

22 + 34 > 42

56 > 42

Since the inequality is true, we can move onto the next part.


Check to see if b + c > a is true

b + c > a

34 + 42 > 22

76 > 22

Since the inequality is true, we can move onto the next part.


Check to see if a + c > b is true

a + c > b

22 + 42 > 34

64 > 34

Since the inequality is true, and the other inequalities are true, this means that you can construct a triangle with these lengths.