Question

Two of the sides of a triangle are $18$ and $25.$ The length of the third side is also a positive integer. How many different possible values are there for the third side length? (Assume that the triangle is non-degenerate.) If correct and answered within 30 minutes will become brainliest.

Answer 1

8<x<43

According to triangle inequality, we get to know that the third side of the triangle will be more than 8 but less than 43

Answer 2

Given:

Two of the sides of a triangle are 18 and 25. The length of the third side is also a positive integer.

To find:

How many different possible values are there for the third side length?

Solution:

From given, we have,

Two of the sides of a triangle are 18 and 25.

A condition should be satisfied by the parts of the triangle in order to form a triangle and that is, "Any side must be shorter than the sum of the other two sides."

Let the third side be "x". So, we get,

x < (18 + 25)

x < 43

18 < (x + 25)

18 - 25 < x

-7 < x

25 < (x + 18)

7 < x

Therefore, the range of the third side of the triangle is 7 < x < 43