Two sides of a triangle have lengths 6 and 13. Which expression describes the length of the third side?
at least 7 and less than 19
at least 7 and at most 19
greater than 7 and less than 19
greater than 7 and at most 19

Question

Two sides of a triangle have lengths 6 and 13. Which expression describes the length of the third side? 
at least 7 and less than 19
at least 7 and at most 19
greater than 7 and less than 19
greater than 7 and at most 19

anonymous · Answer

well this is the way i see it...

|dw:1323885873511:dw|

im not sure if you know about the traingle inequality theorem...it basically states that in any triangle...the sum of two of the lengths will be greater than the value of the third lenght...

so applying this here...

you can say that----> 6 + x > 13
                     therefore: x > 7

and also you can say that---> 6 +13 > x
                        therefore :       19 > x

so back you your options id have to say that its--> greater than 7 and less than 19