Determine the missing long leg and hypotenuse of a 30 60 90 triangle

The video tutorial explains how to solve a 30-60-90 triangle problem by finding the long leg and hypotenuse. The instructor demonstrates the use of square roots to calculate these lengths, starting with the long leg by multiplying the short leg by sqrt 3, and the hypotenuse by multiplying by sqrt 2. The process of simplifying the results is also covered, ensuring a clear understanding of the calculations involved.

What is the first step in finding the long leg of a 30-60-90 triangle?

• Multiply the short leg by the square root of 3

• Multiply the hypotenuse by the square root of 2

• Multiply the short leg by 2

• Multiply the hypotenuse by 3

In a 30-60-90 triangle, how do you find the hypotenuse?

• Multiply the short leg by the square root of 2

• Multiply the long leg by 3

• Multiply the long leg by the square root of 2

• Multiply the short leg by the square root of 3

What is the result of multiplying the short leg by the square root of 3?

• The long leg

• The short leg

• The area of the triangle

• The hypotenuse

How can you simplify the expression sqrt(18)?

• As sqrt(3) * sqrt(6)

• As sqrt(6) * sqrt(3)

• As sqrt(9) * sqrt(2)

• As sqrt(4) * sqrt(4.5)

What is the final simplified form of the long leg in a 30-60-90 triangle if the short leg is sqrt(6)?

• 2 * sqrt(2)

• 3 * sqrt(3)

• 2 * sqrt(3)

• 3 * sqrt(2)