Question 468568
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(450)}}} or  {{{3sqrt(50)}}}
b ~ 21.2132
:
"What are the lengths of the triangle?"
b = 21.2132
a = 21.2132
c = 30