SOLUTION: Can a triangle be formed with sides 2, 3, and 6 centimters? Why or why not? I set this up as pythagorean theorem a2 + b2 = c2 2'2 + 3'2 = 6'2 4 + 9 = 36 Would the answe

Question 474669: Can a triangle be formed with sides 2, 3, and 6 centimters? Why or why not?
I set this up as pythagorean theorem
a2 + b2 = c2
2'2 + 3'2 = 6'2
4 + 9 = 36
Would the answer would be No a triangle can not be formed?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
You only use Pythagorean theorem if you want to show whether a triangle is a right triangle. For example, an equilateral triangle with sides 1,1,1 does not satisfy the Pythagorean theorem (1+1 is not equal to 1)

You have to use the triangle inequality which says that for a triangle, the sum of any two sides is always larger than the third side. Here, 2+3 is less than 6, so this violates the triangle inequality, hence a triangle with sides 2,3,6 cannot exist.
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