Answer:
Therefore, the answer is none of the above; all options are associated with the triangle.
Step-by-step explanation:
In an isosceles right triangle, the two legs are congruent, and each angle other than the right angle is 45 degrees. Since the hypotenuse of the triangle is 6 units, each leg has a length of:
leg length = hypotenuse / √2 = 6 / √2
This can be simplified by multiplying the numerator and denominator by √2:
leg length = (6 / √2) * (√2 / √2) = 6√2 / 2 = 3√2
Therefore, the length of each leg is 3√2 units.
Option (c) 6√2 is associated with the triangle as it is the length of the hypotenuse.
Option (a) 45° degrees is associated with the triangle as it is one of the acute angles of the isosceles right triangle.
Option (b) 90° degrees is associated with the triangle as it is the right angle of the isosceles right triangle.
Option (d) 3√2 is associated with the triangle as it is the length of each leg of the isosceles right triangle.
Therefore, the answer is none of the above; all options are associated with the triangle.