SOLUTION: The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm. What is the smallest possible whole-number value of x?

Algebra ->  Pythagorean-theorem -> SOLUTION: The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm. What is the smallest possible whole-number value of x?      Log On


   



Question 986124: The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm.
What is the smallest possible whole-number value of x?

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of any two sides of a triangle must be greater than the remaining side.
so
15+%3C+x+%2B+2x
15+%3C+3x
5+%3C+x
The smallest whole number greater than 5 is 6