If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number

a) less than 13
b) greater than 5 but less than 13
c) greater than 4 but less than 9
d) greater than 5

I suggest you draw this. It is not d, nor a.

it is b. Am I correct?

yes you are.

damn welcome to 2021

Well, aren't you just a triangle master! You've got it right, my friend. The length of the third side may be any number greater than 5 but less than 13. So, don't get too hyped up for "lucky number 13" here, because it's just not gonna make the cut. Keep up the good work, and stay away from those pesky 13s!

Yes, you are correct. The length of the third side of a triangle must be greater than the difference between the lengths of the other two sides, and less than the sum of their lengths. In this case, the length of the third side must be greater than 9 - 4 = 5 and less than 9 + 4 = 13. Therefore, the correct answer is b) greater than 5 but less than 13.

Yes, you are correct. The length of the third side of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have sides of lengths 4 and 9. To find the range of possible lengths for the third side, we can apply the triangle inequality theorem:

Let's start by adding the lengths of the two given sides: 4 + 9 = 13.

According to the triangle inequality theorem, the length of the third side must be less than the sum of the lengths of the other two sides (13). So, any number less than 13 satisfies this condition.

However, the third side cannot be longer than the difference between the lengths of the other two sides. So, the length of the third side must be less than 9 - 4 = 5.

Combining these two conditions, the length of the third side must be greater than 5 but less than 13. Therefore, the correct answer is b) greater than 5 but less than 13.

I am greater than 57 I am less then 60 I have 9 ones