30 60 90 Triangles CHEAT CODE SHORTCUT

The video tutorial explains how to set up and solve 30-60-90 triangles. It begins with an introduction and a request for viewers to subscribe. The instructor then provides a detailed explanation of the 30-60-90 triangle setup, followed by a template for solving these triangles. Two example problems are presented: one with the 30 side as the base and a more complex one with the 60 side as the base. The tutorial emphasizes the relationships between the angles and sides of the triangle and provides step-by-step instructions for solving them.

What is the relationship between the angles and sides in a 30-60-90 triangle?

• The 30-degree angle is opposite the longest side.

• The 60-degree angle is opposite the shortest side.

• The 90-degree angle is opposite the hypotenuse.

• The 30-degree angle is opposite the shortest side.

If the side opposite the 30-degree angle is 4, what is the length of the hypotenuse?

• 4

• 4√3

• 8

• 2

How do you find the side opposite the 60-degree angle if the side opposite the 30-degree angle is known?

• Multiply by 2

• Multiply by √3

• Divide by √3

• Divide by 2

What is the first step in solving a 30-60-90 triangle when given the side opposite the 60-degree angle?

• Divide by 2

• Multiply by √3

• Divide by √3

• Multiply by 2

Why is it necessary to rationalize the denominator when dividing by a radical?

• It is considered improper to have a radical in the denominator.

• It is a mathematical rule.

• It simplifies the expression.

• It makes calculations easier.

If the side opposite the 60-degree angle is 10, what is the length of the side opposite the 30-degree angle after rationalization?

• 3√10

• 10/√3

• 10

• 10√3/3

What is the final step to find the hypotenuse if the side opposite the 30-degree angle is known?

• Multiply by 2

• Multiply by √3

• Divide by 2

• Divide by √3