Math
posted by John .
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 15 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
? ft and less than
? ft.

Math 
Reiny
let the third side be x , where x > 0
then x+15 > 27 > x > 12
and
x+27> 15 > x > 12
so far we have x > 12
and
12+27 > x
x < 39
so :
12 < x < 39
Respond to this Question
Similar Questions

Geomentry
What is the converse of the theorem statement: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. If two sides of a triangle are divided in the same proportion, … 
Math
How do I figure out this question? Is there a formula I need? 
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 … 
math
the sum of the lengths of any two sides of a triangle must be greater that the length of the third side. what are the possible valuse of x for this triangle. if the sides are (x+5)cm, and (3x)cm, and 40cm 
Math (Geometry)
Find the length of the third side of a triangle if the area of the triangle is 18 and two of its sides have lengths of 5 and 10. 
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 … 
Math
The perimeter of a triangle is 19 cm. If the length of the longest side is twice that of the shortest side and 3 cm less than the sum of the lengths of the other two sides, find the lengths of the three sides 
math
according to the triangle inequality, the length of the longest side of a triangle bust be less than the sum of the lengths of the other two sides. the two shortest sides of a triangle measure 3/10 and x + 1/5 and the longest measures … 
math plz check ;;
A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true? 
math plz check ;; sorry
A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true?