Question 1206202: The measures of two sides are given 9 and 15. Between what two numbers must the third side fall.
Write an inequality to represent your answer:___________
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Answer: 6 < c < 24
Explanation
Refer to example 3 and example 4 of this lesson (scroll up a bit to see how I derived the inequality)
a = 9
b = 15
b-a < c < b+a
15-9 < c < 15+9
6 < c < 24
If a triangle has sides 9 units and 15 units, then the third side is somewhere between 6 units and 24 units where we exclude both endpoints.
Meaning that c = 6 isn't possible, and neither is c = 24.
If c is a whole number then here are the possible values: 7, 8, 9, 10, ..., 22, or 23.
If c is some decimal value, then there are infinitely many possibilities (as long as it's between 6 and 24 of course).
A similar question is found here
|
|
|
