# Math

posted by .

Two sides of a triangle measure 14 and 10. If A is the set of possible lengths for the third side, how many elements of A are integers?

Is the correct answer 19 elements of A are integers?

• Math -

let the third side be x

The sum of any two sides must be greater than the third side

x+14 > 10 or
x > -4, but x must be positive, so x> 0 DUHH!

AND

x+10 > 14
x > 4

AND

10+14 > x
x < 14 --------> 4 < x < 14

so x has to be 5, 6, 7 , .... 13
I count 9

## Similar Questions

1. ### A Geometry ?

Given that two sides of a triangle are 20 and 66. Find the range of possible measures for the third side, s. a. 20<s<66 b. 46<s<86 c. 20<s<86 d.46<s<66 If you could tell me how to do this problem, i could do …
2. ### IRSC

the sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that 17 inches and a second side that is 1 inch less than twice the thrid side, what are the possible lengths for …
3. ### Math

Two sides of a triangle measure 14 and 10. If A is the set of possible lengths for the third side, how many elements of A are integers?
4. ### mathematics

The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at …
5. ### maths

The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at …
6. ### Math(combinations) Help

Let Pn be the set of all subsets of the set [n]={1,2,…,n}. If two elements of P5 are chosen at random, the expected number of elements (of [n]) that they have in common can be expressed as a/b where a and b are coprime positive integers. …
7. ### math

Let Pn be the set of all subsets of the set [n]={1,2,…,n}. If two distinct elements of P5 are chosen at random, the expected number of elements (of [n]) that they have in common can be expressed as a/b where a and b are coprime positive …
8. ### Math

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 cm and a second side that is 2 cm less than twice the third side, what are the possible lengths for the …
9. ### geography

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible lengths of the third side of the triangle?
10. ### math

one side of a triangle is 4 cm. The sum of the two other sides is 11 and all sides are integers. What is the largest possible side.

More Similar Questions