Question

1. solve for u and v in the special right triangle. v = 9, u = 6√3; v = 3√6, u = 6√3; v = 6√3, u = 9√3; v = 9√3, u = 6√3

Explanation:

Step1: Identify triangle type

It's a 30-60-90 right triangle.

Step2: Assign sides

Short leg = 3√3, long leg = v, hypotenuse = u.

Step3: Calculate long leg

Long leg = short leg × √3: $v = 3√3 × √3 = 3×3 = 9$

Step4: Calculate hypotenuse

Hypotenuse = short leg × 2: $u = 3√3 × 2 = 6√3$

Answer:

v = 9, u = 6√3