Question

Given lengths of two sides of a right triangle. All three sides lengths of the triangle are integers and together form a Pythagorean triple. Find the length of the third side and tell whether it is a leg or the hypotenuse. Side 1 = 36 Side 2 = 85 The length of the third side is (answer is a number) The third side is called (answer is leg or hypotenuse)

Answer 1

Length 1 a= 36

Length 2. b = 85

Then a^2 + b^2 = c^2

or also

b^2 - a^2 = c^2

Now find

36^2 + 85^2 = 1296 + 7225= 8521

Then find square root

√8521 = 92 + 57/185 aproximate.

√8521= 92.31

85^2 - 36^2= 5929 = 77^2

√77^2= 77

Then ANSWER IS

third side is called LEG

And its value is

c= 77