Hypotenuse = 5√6
Let the length of each leg be x, since it is Isosceles .
x² + x² = (5√6)²
2x² = (5 * 5 * √6 * √6)
2x² = 150
x² = 150/2
x² = 75
x = √75
x = √(25 * 3)
x = √25 * √3
x = 5√3
Answer:
Nevan won the game.
He scored 183 points.
Explanation:
Correct answer is worth 13/4 points
Incorrect answer is worth -1/4 points.
Number of correct answers = 58
Number of incorrect answers = 22
Point scored 
Points need to win = 90 points
Point scored, 183 >Points need to win, 90
So, Nevan won the game.