Question

Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. c 22 and 15 Answer: < 3rd side

Answer 1

The range for the length of the third side of a triangle with given side lengths of 22 and 15 is any value less than 37.

Step-by-step explanation:

The length of the third side of a triangle can be found using 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 a triangle with sides of lengths a and b, the range for the length of the third side, c, can be represented by the inequality: a + b > c.

In the given case, if a = 22 and b = 15, then the inequality becomes: 22 + 15 > c, which simplifies to 37 > c. Therefore, the range for the length of the third side is any value less than 37.

Answer 2

7<x<37

Step-by-step explanation:

Here is the formula to solve range questions:

22-15<x<22+15