SOLUTION: Solve the equation a²+b²=c² for b suppose that an isosceles right triangle has a hypotenuese with length 30cm I do not understand this equation or how to solve for b, when I ha

Algebra ->  Radicals -> SOLUTION: Solve the equation a²+b²=c² for b suppose that an isosceles right triangle has a hypotenuese with length 30cm I do not understand this equation or how to solve for b, when I ha      Log On


   

Question 468568: Solve the equation a²+b²=c² for b
suppose that an isosceles right triangle has a hypotenuese with length 30cm
I do not understand this equation or how to solve for b, when I have not been given a and c. I am confused on this.
Then next "What are the lengths of the triangle?"
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation a²+b²=c² for b
suppose that an isosceles right triangle has a hypotenuse with length 30cm.
:
Note that in an isosceles right triangle, a and b are equal, you are given the
hypotenuse as 30 cm, therefore:
:
a = b
c = 30
therefore
b^2 + b^2 = 30^2
2b^2 = 900
b^2 = 900/2
b^2 = 450
b = sqrt%28450%29 or 3sqrt%2850%29
b ~ 21.2132
:
"What are the lengths of the triangle?"
b = 21.2132
a = 21.2132
c = 30