SOLUTION: Please try to answer the following questions if possible. I'm having problems trying to learn pythagorean theorem. Thanks Two side lengths of a right triangle are given. Find th

Algebra ->  Pythagorean-theorem -> SOLUTION: Please try to answer the following questions if possible. I'm having problems trying to learn pythagorean theorem. Thanks Two side lengths of a right triangle are given. Find th      Log On


   

Question 176570: Please try to answer the following questions if possible. I'm having problems trying to learn pythagorean theorem. Thanks
Two side lengths of a right triangle are given. Find the missing side length. Leave your answers in radical form.
1) a=3,b=4,c=____.
2) a=46,b=73,c=____.
3) a=27,b=____,c=53.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2
1)
3^2+4^2=c^2
9+16=c^2
25=c^2
c=sqrt(25)
.
2)
46^2+73^2=c^2
2116+5329=c^2
c^2=7445
c=sqrt(7445)
.
27^2+b^2=53^2
b^2=53^2-27^2
b^2=2809-729
b^2=2080
b=sqrt(2080)
=sqrt(16*130)
=4sqrt(130)
.
Ed