the hypotenuse is three times the length of one leg and the other is 2 square root of 6. Find the length of the unknown leg and the hypotenuse

Question

the hypotenuse is 3 Times the length of one leg, the other leg is 2 square root of 6, and the other leg is unknown. Find the length of the unknown leg and the hypotenuse 

Answer 1

a² + b² = c²

 

a = 2 x sqrt(6)

b = ?

c = 3b (if I understand correctly)

 

(4)(6) + b² = (3b)²

9b² - b² = 24

8b² = 24

b² = 3

 

Take the square root of both sides for your final answer for b, and multiply by 3 for the hypotenuse. I would also graph this to visualize.