What is the leg length of a right triangle with a hypotenuse of square root of 74 and a leg length of 5?
-Linlee Y.
The Pythagorean Theorem is c² = a² + b²
where c is the hypotenuse and a and b are the other two sides.
For this problem, c = √74 and a = 5: ( √74 )² = ( 5 )² + b²
---> 74 = 25 + b²
---> 49 = b²
---> b = √49
---> b = 7
[The sides a and b are interchangeable.]