Using two 30 60 90 triangles to determine the missing lengths of a figure

The video tutorial explains the properties of 30-60-90 triangles, focusing on solving for missing values X and Y. It discusses the importance of separating triangles into smaller parts to simplify calculations. The tutorial covers how to calculate the short and long legs of a triangle using the hypotenuse and rationalizing denominators to find final answers.

What is the first step in solving for missing values in a triangle divided into two 30-60-90 triangles?

• Use a calculator to find the angles

• Combine the triangles into one large triangle

• Ignore the 90-degree angle

• Separate the triangles into two smaller triangles

In a 30-60-90 triangle, how do you find the short leg if you know the hypotenuse?

• Divide the hypotenuse by sqrt 2

• Multiply the hypotenuse by sqrt 3

• Divide the hypotenuse by 2

• Multiply the hypotenuse by 2

What is the relationship between the short leg and the long leg in a 30-60-90 triangle?

• The long leg is the short leg divided by sqrt 3

• The long leg is the short leg times sqrt 3

• The long leg is the short leg plus 2

• The long leg is twice the short leg

How do you rationalize the denominator when calculating side lengths in a 30-60-90 triangle?

• Subtract the denominator from the numerator

• Add the denominator to the numerator

• Multiply by the reciprocal of the denominator

• Multiply by the square root of the denominator

What are the final values of X and Y in the special triangle discussed?

• X = 7, Y = 7

• X = 7 sqrt 3, Y = 7 sqrt 2

• X = 7 sqrt 2, Y = 7 sqrt 3

• X = 7 sqrt 3 / 2, Y = 7 sqrt 2 / 3