The sum of the squares of the lengths of all three sides of a right triangle is 200. What is the length of the hypotenuse?
+37084 SO a^2 + b^2 + c^2 = 200 (given in the question)
we know from Pythag theorem that ( a^2 + b^2 ) = c^2 Substitute this into the first equation results in:
c^2 + c^2 = 200
c^2 = 100
c = hypotenuse = 10
+37084 SO a^2 + b^2 + c^2 = 200 (given in the question)
we know from Pythag theorem that ( a^2 + b^2 ) = c^2 Substitute this into the first equation results in:
c^2 + c^2 = 200
c^2 = 100
c = hypotenuse = 10
