Question

The measures of two side are given, between what two numbers must the third side fall

3) 23 and 14
4) 5 and 8

please help po need po ng answers and Explanation po thank you​

Answer 1

the third side must fall between 3 and 13.

Explanation:

3) To determine the range of possible values for the third side of a triangle given two side lengths, we use 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.

So, for the given side lengths of 23 and 14, the possible range of values for the third side would be:

23 - 14 < x < 23 + 14

9 < x < 37

Therefore, the third side must fall between 9 and 37.

4) Using the same theorem, we can find the range of possible values for the third side with the given side lengths of 5 and 8:

8 - 5 < x < 8 + 5

3 < x < 13

Therefore, the third side must fall between 3 and 13.