SOLUTION: i have a problem about my math homework. my problem says: THE SUM OF THE LENGTHS OF THE TWO LEGS OF A RIGHT ANGLE TRIANGLE IS 14. FIND THE LENGTH OF THE SHORTEST HYPOTENUSE. p

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: i have a problem about my math homework. my problem says: THE SUM OF THE LENGTHS OF THE TWO LEGS OF A RIGHT ANGLE TRIANGLE IS 14. FIND THE LENGTH OF THE SHORTEST HYPOTENUSE. p      Log On


   



Question 131434: i have a problem about my math homework.
my problem says: THE SUM OF THE LENGTHS OF THE TWO LEGS OF A RIGHT ANGLE TRIANGLE IS 14. FIND THE LENGTH OF THE SHORTEST HYPOTENUSE.
please solve my problem but using quadratic equations, i just cant figure out how to set up the whole thing. thank you very much!

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2
The hypotenuse will be the shortest when the legs are equal.
2*7^2
=2*49
=98
c=sqrt(98)
=sqrt(2*49)
=7sqrt(2)
.
Ed